Past Seminars

Mon Aug 19

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Aug 16

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Aug 16

Probability Seminar

9:30am -
CANCELLED

Wed Aug 14

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Aug 12

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Aug 12

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Aug 09

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Aug 09

Probability Seminar

9:30am -
CANCELLED

Wed Aug 07

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Aug 05

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Aug 05

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Aug 02

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Aug 02

Probability Seminar

9:30am -
CANCELLED

Wed Jul 31

Combinatorics Seminar

3:35pm - Vincent Hall 16
Hurwitz action of reflection factorizations of Coxeter elements
Sophiane Yahiatene, Bielefeld University
Abstract:

In the talk we will investigate a natural braid group action on factorizations of elements in reflection groups. In particular, we will consider reflection factorizations of Coxeter elements in Coxeter groups of finite rank and state conditions whether two factorizations lie in the same orbit under the natural action. The presented result extends the investigation of Lewis - Reiner (arXiv:1603.05969) to arbitrary Coxeter groups of finite rank. (j.w. Patrick Wegener)

Wed Jul 31

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jul 29

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jul 29

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jul 26

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jul 26

Probability Seminar

9:30am -
CANCELLED

Wed Jul 24

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Tue Jul 23

Combinatorics Seminar

3:35pm - Vincent Hall 113
Enumeration of bounded lecture hall tableaux
Jang Soo Kim,, Sungkyunkwan University
Abstract:

Recently Corteel and Kim introduced lecture hall tableaux in their study of multivariate little q-Jacobi polynomials. In this talk, we enumerate bounded lecture hall tableaux. We show that their enumeration is closely related to standard and semistandard Young tableaux. We also show that the number of bounded lecture hall tableaux is the coefficient of the Schur expansion of s?(m+y1,...,m+yn). To prove this result, we use two main tools: non-intersecting lattice paths and bijections. In particular we use ideas developed by Krattenthaler to prove bijectively the hook content formula. This is joint work with Sylvie Corteel.

Mon Jul 22

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jul 22

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jul 19

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jul 19

Probability Seminar

9:30am -
CANCELLED

Thu Jul 18

Combinatorics Seminar

3:35pm - Vincent Hall 16
Fibers of maps to totally nonnegative spaces and the Fomin-Shapiro Conjecture
Patricia Hersh, North Carolina State University
Abstract:

Anders Björner and Joseph Bernstein raised the question of finding regular CW complexes naturally arising from representation theory having the intervals of Bruhat order as their posets of closure relations. Sergey Fomin and Michael Shapiro conjectured a solution, namely the link of the identity in the totally nonnegative real part of the unipotent radical of a Borel in a semisimple, simply connected algebraic group defined and split over the reals together with a family of related spaces indexed by the different Coxeter group elements. The Fomin-Shapiro conjecture indeed proved to be true, with the proof utilizing an interpretation of these stratified spaces as images of an intriguing family of maps - maps also arising in work of Lusztig related to canonical bases. I will start by reviewing some highlights of this story, then turn to recent joint work with Jim Davis and Ezra Miller regarding the structure of the fibers of these same maps.

Wed Jul 17

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jul 15

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jul 15

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jul 12

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jul 12

Probability Seminar

9:30am -
CANCELLED

Wed Jul 10

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jul 08

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jul 08

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jul 05

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jul 05

Probability Seminar

9:30am -
CANCELLED

Wed Jul 03

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jul 01

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jul 01

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jun 28

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jun 28

Probability Seminar

9:30am -
CANCELLED

Wed Jun 26

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jun 24

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jun 24

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jun 21

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jun 21

Probability Seminar

9:30am -
CANCELLED

Wed Jun 19

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jun 17

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jun 17

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Fri Jun 14

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jun 14

Probability Seminar

9:30am -
CANCELLED

Wed Jun 12

Special Events and Seminars

1:30pm - Vincent Hall 364
Summer Student Representation Theory Seminar

Mon Jun 10

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jun 10

Special Events and Seminars

1:30pm - Vincent Hall 364
Basic Operations on Representations
Andy Hardt
Abstract:

We continue our crash course in finite group representation theory by looking at some important operations on representations.

We start by defining the group algebra of a finite group; group representations naturally biject with modules over the group algebra.

After that, we'll talk through a variety of ways to construct new representations from old, such as restriction, induction, inflation, tensor product, and we may even squeeze in symmetric and exterior powers.

Fri Jun 07

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri Jun 07

Probability Seminar

9:30am -
CANCELLED

Thu Jun 06

Combinatorics Seminar

3:35pm - Vincent Hall 113
Chicken Nuggets and Numerical Semigroups
Ayomikun Adeniran, Texas A&M
Abstract:

A numerical semigroup is a subset of N that is closed under addition, contains 0 and has finite complement in N. There are several fundamental invariants of a numerical semigroup S among which are the Frobenius number and genus of S, denoted F(S) and g(S), respectively. The quotient of a numerical semigroup S by a positive integer d is the set S/d={x|dx?S} which is also a numerical semigroup. In this talk, I will present some recent results showing the relation between the genus of S/d and the genus of S. If time permits, we will also talk about identities relating the Frobenius numbers and the genus of quotients of numerical semigroups that are generated by certain types of arithmetic progressions. This is joint work with S. Butler, C. Defant, Y. Gao, P.E. Harris, C. Hettle, Q. Liang, H. Nam, and A. Volk.

Wed Jun 05

Special Events and Seminars

2:00pm - Vincent Hall 570
AWM Talk
Mimi Boutin
Tue Jun 04

Special Events and Seminars

3:35pm - Vincent Hall 113
Special Events and Seminars

Tue Jun 04

Combinatorics Seminar

3:35pm - Vincent Hall 113
Counting core partitions and numerical semigroups using polytopes
Hayan Nam, University of California at Irvine
Abstract:

A partition is an aa-core partition if none of its hook lengths are divisible by aa. It is well known that the number of aa-core partitions is infinite and the number of simultaneous (a,b)(a,b)-core partitions is a generalized Catalan number if aa and bb are relatively prime. In the first half of the talk, we give an expression for the number of simultaneous (a1,a2,…,ak)(a1,a2,…,ak)-core partitions that is equal to the number of integer points in a polytope. In the second half, we discuss objects closely related to core partitions, called numerical semigroups, which are additive monoids that have finite complements in the set of non-negative integers. For a numerical semigroup SS, the genus of SS is the number of elements in ??SN?S and the multiplicity is the smallest nonzero element in SS. In 2008, Bras-Amorós conjectured that the number of numerical semigroups with genus gg is increasing as gg increases. Later, Kaplan posed a conjecture that implies Bras-Amorós conjecture. In this talk, we prove Kaplan's conjecture when the multiplicity is 4 or 6 by counting the number of integer points in a polytope. Moreover, we find a formula for the number of numerical semigroups with multiplicity 4 and genus gg.

Mon Jun 03

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri May 31

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
TBA
Fri May 31

Probability Seminar

9:30am -
CANCELLED

Wed May 29

Special Events and Seminars

1:30pm - Vincent Hall 206
Informal Fluids Seminar
Raj Beekie
Mon May 27

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri May 24

Probability Seminar

9:30am -
CANCELLED

Tue May 21

Math Physics Seminar

12:20pm - Vincent Hall 209
Second quantization of elliptic Calogero-Sutherland models
Bjorn Berntson
Abstract:

Calogero-Sutherland models are a class of completely integrable (quantum) many-body systems. In the most general case, particles interact pairwise through an elliptic potential. We discuss the second quantization of several elliptic Calogero-Sutherland models. In degenerate (trigonometric, rational) cases, there is a well-studied correspondence between Calogero-Sutherland systems and Benjamin-Ono equations, a nonlinear, integrable integro-differential equation. We discuss the correspondence in the elliptic regime, where second quantization of a particular system leads to a new two-component elliptic Benjamin-Ono equation. We construct a Lax pair for this equation via a Riemann-Hilbert problem on the torus. This is joint work with Edwin Langmann and Jonatan Lenells.

Mon May 20

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri May 17

Probability Seminar

9:30am -
CANCELLED

Thu May 16

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu May 16

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Tue May 14

Special Events and Seminars

3:30pm - Vincent Hall 570
Singularity formation for some solutions of the incompressible Euler equation
Tarek Elgindi
Abstract:

We describe a recent construction of self-similar blow-up solutions of the incompressible Euler equation. A consequence of the construction is that there exist finite-energy $C^{1,a}$ solutions to the Euler equation which develop a singularity in finite time for some range of $a>0$. The approach we follow is to isolate a simple non-linear equation which encodes the leading order dynamics of solutions to the Euler equation in some regimes and then prove that the simple equation has stable self-similar blow-up solutions.

Tue May 14

Math Physics Seminar

12:30pm - Vincent Hall 209
3rd order symmetries for systems on the 2-sphere and the 2 two-sheet 2-hyperboloid -- Superintegrability and cubic algebras
Willard Miller, University of Minnesota (Joint with Ian Marquette, University of Queensland, and Bjorn Berntson, KTH Royal Institute of Techn
Abstract:

There are many papers concerning 3rd and higher order superintegrable systems on 2D Euclidean space, particularly by Pavel Winternitz, his students and collaborators. However, we are not aware of similar studies on nonflat spaces. We decided to study the 2-sphere (with separation in polar coordinates) and the 2-hyperboloid (with separation in horospherical coordinates). The computations were very complex for these nonflat systems and the results less rich than for flat space, which is to be expected. In each case we have a Hamiltonian operator H a 2nd order symmetry operator A and compute a 3rd order symmetry operator B.
We classified the potentials which yielded

a nonzero B. They fall into 4 classes: 1) Systems that are 2nd order superintegrable, 2) Systems that are 3rd order superintegrable but do not generate a cubic algebra, 3) Systems with algebraically dependent generators A and B, 4) Systems that are 3rd order superintegrable with a cubic algebra.

We pay special attention to the class 3 cases which also occur for Euclidian space with little change. We call these functionally dependent superintegrable systems, and show that they always permit a computation of the A eigenfunctions by simple quadrature. For the hyperboloid we show that the TTW method applied to a 2nd order
superintegrable system in horospherical coordinates yields a 3rd order superintegrable system.

Tue May 14

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon May 13

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri May 10

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri May 10

Combinatorics Seminar

3:35pm - Vincent Hall 570
Facial weak order in hyperplane arrangements
Aram Dermenjian, UQAM
Abstract:

We discuss the facial weak order, a poset structure that extends the poset of regions on a central hyperplane arrangement to the set of all faces of the arrangement which was first introduced on the braid arrangements by Krob, Latapy, Novelli, Phan and Schwer. We provide various characterizations of this poset including a global one, a local one, one using covectors and a geometric one using the associated zonotope. We then show that the facial weak order is in fact a lattice for simplicial hyperplane arrangements, generalizing a result by Björner, Edelman and Zieglar showing the poset of regions is a lattice for simplicial arrangements. We end by stating some properties on the facial weak order.

Fri May 10

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri May 10

Probability Seminar

9:30am -
CANCELLED

Thu May 09

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu May 09

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu May 09

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu May 09

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu May 09

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Wed May 08

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed May 08

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed May 08

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Algebraic Representation Theory

Wed May 08

PDE Seminar

3:35pm - Vincent Hall 570
PDE Seminar

Tue May 07

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue May 07

Math Physics Seminar

12:20pm - Vincent Hall 209
Polytopes and elliptopes in the foundations of quantum mechanics
Michael Janas and Michel Janssen, School of Physics and Astronomy, University of Minnesota
Abstract:

Bell's inequality for classical correlations is perhaps the most famous result in quantum foundations. Less familiar is the so-called Tsirelson bound, for the corresponding quantum correlations. We first review Bell's inequality in its original form, where one attempts to classically simulate the following quantum experiment: Alice and Bob independently measure a spin component of one of a pair of spin-1/2 particles entangled in the singlet state. We show that the resulting set of classical and quantum correlations allowed in this setup may be visualized as a tetrahedron and an elliptope, respectively, in three-dimensional space. We then consider how to generalize these results to the case of either more settings or more outcomes (i.e., higher spin). In the case of more than two outcomes, the restrictions on the classical simulations lead to high-dimensional polytopes and highly-faceted polyhedra. In the case of four settings we arrive at the Clauser-Horne-Shimony-Holt (CHSH) inequality, a form of the Bell inequality commonly used in experimental tests. In this context, we briefly discuss connections to semi-definite programming and the topic of spectrahedral shadows.

Tue May 07

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon May 06

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon May 06

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Classical Properties of Epstein zeta functions
Adrienne Sands, University of Minnesota
Mon May 06

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
On localizing and concentrating of electromagnetic fields
Yi-Hsuan Lin, University of Jyvaskyla
Abstract:

We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always exist certain boundary inputs which can generate electromagnetic fields with energy localized/concentrated in a given subdomain while nearly vanishing in another given subdomain. The theoretical results may have potential applications in telecommunication, inductive charging and medical therapy. We also derive a related Runge approximation result for the time-harmonic anisotropic Maxwell system with partial boundary data.

Mon May 06

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon May 06

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon May 06

IMA Data Science Lab Seminar

1:25pm - Lind 305
Robust Accelerated Gradient Methods
Mert Gurbuzbalaban, Rutgers, The State University Of New Jersey
Abstract:

We study the problem of minimizing a strongly convex and smooth function when we have noisy estimates of its gradient. We propose a novel multistage accelerated algorithm that is universally optimal in the sense that it achieves the optimal rate both in the deterministic and stochastic case and operates without knowledge of noise characteristics. The algorithm consists of stages that use a stochastic version of Nesterov's accelerated algorithm with a specific restart and parameters selected to achieve the fastest reduction in the bias-variance terms in the convergence rate bounds.

Mert Gürbüzbalaban is an assistant professor at Rutgers University. Previously, he was a postdoctoral associate at the Laboratory for Information and Decision Systems (LIDS) at MIT. He is broadly interested in optimization and computational science driven by applications in large-scale information and decision systems. He received his B.Sc. degrees in Electrical Engineering and Mathematics as a valedictorian from Bo?aziçi University, Istanbul, Turkey, the “Diplôme d’ingénieur” degree from École Polytechnique, France, and the M.S. and Ph.D. degrees in (Applied) Mathematics from the Courant Institute of Mathematical Sciences, New York University.

Dr. Gürbüzbalaban received the Kurt Friedrichs Prize (given by the Courant Institute of New York University for an outstanding thesis) in 2013, Bronze Medal in the École Polytechnique Scientific Project Competition in 2006, the Nadir Orhan Bengisu Award (given by the electrical-electronics engineering department of Bo?aziçi University to the best graduating undergraduate student) in 2005 and the Bülent Kerim Altay Award from the Electrical-Electronics Engineering Department of Middle East Technical University in 2001. He received funding from a variety of sources including multiple programs at the U.S. National Science Foundation.

Fri May 03

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri May 03

Combinatorics Seminar

3:35pm - Vincent Hall 570
Combinatorics of cluster structures in Schubert varieties
Melissa Sherman-Bennett, UC Berkeley/Harvard
Abstract:

The (affine cone over the) Grassmannian is a prototypical example of a variety with "cluster structure"; that is, its coordinate ring is a cluster algebra. Scott (2006) gave a combinatorial description of this cluster algebra in terms of Postnikov's plabic graphs. It has been conjectured essentially since Scott's result that Schubert varieties also have a cluster structure with a description in terms of plabic graphs. I will discuss recent work with K. Serhiyenko and L. Williams proving this conjecture. The proof uses a result of Leclerc, who shows that many Richardson varieties in the full flag variety have cluster structure using cluster-category methods, and a construction of Karpman to build plabic graphs for each Schubert variety. Time permitting, I will also discuss our results on cluster structures on a larger class of positroid varieties, which involve the combinatorics of "generalized" plabic graphs.

Fri May 03

Lie Theory Seminar

2:30pm - Vincent Hall 6
Lie Theory Seminar

Fri May 03

Probability Seminar

2:30pm - Vincent Hall 213
The majority vote process on trees: convergence to equilibrium
Larry Gray, UMN
Abstract:

This is joint with Maury Bramson, who introduced our work last week and then spoke more particularly about the existence of uncountably many mutually singular equilibria in the majority vote process on a tree of vertex degree 5 and higher, whenever the noise rate is sufficiently small. Each equilibrium is associated with a different fixed point of the majority vote operation.

Natural question: If the system starts at (or near) one of these fixed points and the noise rate is small, does it converge to the corresponding equilibrium, and if so, how fast? Answering this question can tell us much about the properties of these equilibria, but standard techniques do not apply. I will describe a new method, based on the "graphical construction" of these systems, which shows exponentially quick convergence to equilibrium when the noise rate is sufficiently small. These methods apply to other models on trees, such as the stochastic Ising model, for which the convergence result was previously unknown.

This lecture is self-contained; essential features from the previous week will be included (with some new pictures).

Fri May 03

1:25pm - Lind 305
Startup vs. BigCo: Industry Experiences Compared
Ben Peirce, Samsung Research America
Abstract:

Choosing a career path in industry after spending years in academia can be daunting, particularly when deciding between working for a large company or a startup. In this talk, I'll discuss my experiences in both environments, and consider the pros and cons of each for people with more theoretical backgrounds.

Ben Peirce is Sr. Director of Development at Samsung Research America in Mountain View, CA, where his team builds analytics tools for mobile software services. He joined Samsung in 2018 through the acquisition of his virtual reality analytics startup, Vrtigo, where he served as CEO. Prior to co-founding Vrtigo, Ben spent a decade building analytics systems at several startups as either founder or early employee. He has a Ph.D. in engineering and S.M. in applied mathematics from Harvard, where he studied control theory and robotics, and a B.M.E. from the University of Minnesota.

Fri May 03

Ordway Lecture Series

1:25pm - Vincent Hall 301
Representations of Real Reductive Groups
Professor Kari Vilonen, University of Melbourne
Fri May 03

Probability Seminar

9:30am -
CANCELLED

Thu May 02

Colloquium

3:35pm - Vincent Hall 16
Singularity Formation in 3D Euler Equations and Related Models
Thomas Hou, Ordway Vsitor, Caltech
Abstract:

Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is a long-standing open question in mathematical fluid dynamics. Recent computations have provided strong numerical evidence that the 3D Euler equations develop a finite time singularity from smooth initial data. I will report some recent progress in providing a rigorous justification of the singularity formation in the 3D Euler equations and related models.

Thu May 02

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu May 02

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu May 02

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu May 02

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu May 02

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu May 02

Student Number Theory Seminar

11:00am - Vincent Hall 213
Introduction to Langlands philosophy
Dev Hedge, University of Minnesota
Abstract:

We will give less precise but hopefully very motivational introduction to Langlands philosophy with many examples. A serious background in anything is not essential.

Thu May 02

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed May 01

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed May 01

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed May 01

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Jordan form data from the perspective of the derived category
Peter Webb, University of Minnesota
Abstract:

We show that certain sets of representations of Dynkin quivers are determined by their Jordan form data. The description is phrased in terms of the bounded derived category of representations of the quiver. This continues the study of the paper of Garver, Patrias and Thomas: Minuscule reverse plane partitions via quiver representations.

Wed May 01

PDE Seminar

3:35pm - Vincent Hall 570
PDE Seminar

Wed May 01

Ordway Lecture Series

1:25pm - Vincent Hall 301
Representations of Real Reductive Groups
Professor Kari Vilonen, University of Melbourne
Tue Apr 30

Colloquium

3:35pm - Vincent Hall 16
The NTRU Class of cryptosystems, lattices, and post quantum cryptography
Jeffrey Hoffstein, Brown University
Abstract:

I'll discuss the nature and origins of public key cryptography, and the dangers that the development of quantum computers pose to the security of the internet and virtually all cryptosystems presently in widespread use. All public key cryptographic systems are based on a hard mathematical problem, and I'll explain how, while originally despised, hard problems based on lattices have evolved to become the most promising direction for the development of quantum resistant cryptography. I'll focus on NTRU, the earliest effective and efficient public key cryptosystem, which was developed in 1996 by myself, Jill Pipher and Joe Silverman. I will also discuss the recent history of public key cryptography. The talk will require no previous knowledge of lattices or cryptography, and will be aimed at a wide audience.

Tue Apr 30

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Apr 30

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Apr 30

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon Apr 29

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Apr 29

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory

Mon Apr 29

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Apr 29

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Apr 29

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Apr 29

IMA Data Science Lab Seminar

1:25pm - Lind 305
Solving Multiscale Problems with Subsampled Data by Integrating PDE Analysis with Data Science
Thomas Hou, California Institute of Technology
Abstract:

In many practical applications, we often need to provide solutions to quantities of interest to a large-scale problem but with only subsampled data and partial information of the physical model. Traditional PDE solvers cannot be used directly for this purpose. On the other hand, many powerful techniques have been developed in data science to represent and compress data for useful information. A crucial factor for the success of these methods is to exploit some low rank or sparsity structures in these high-dimensional data. In this talk, we will describe our recent effort in developing effective numerical methods to solve multiscale problems using subsampled data. The PDE analysis will help reveal certain important solution structures so that we can use techniques from data science to give accurate approximations for these quantities of interest.

Thomas Yizhao Hou is the Charles Lee Powell professor of applied and computational mathematics at Caltech. His research interests are centered around developing mathematical analysis and effective computational methods for vortex dynamics, interfacial flows, multiscale problems and data analysis. He received his Ph.D. in mathematics from UCLA in 1987, and joined the Courant Institute as a junior faculty member in 1989. He moved to Caltech in 1993 and was named the Charles Lee Powell Professor in 2004. He was the founding Editor-in-Chief of the SIAM Journal on Multiscale Modeling and Simulation from 2002 to 2007 and served on the IMA Board of Governors from 2010 to 2014. Dr. Hou is a Fellow of American Academy of Arts and Sciences, a SIAM Fellow and an AMS Fellow.

Mon Apr 29

Ordway Lecture Series

1:25pm - Vincent Hall 301
Representations of Real Reductive Groups
Professor Kari Vilonen, University of Melbourne
Fri Apr 26

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Apr 26

Lie Theory Seminar

3:35pm - Vincent Hall 6
Lie Theory Seminar

Fri Apr 26

Combinatorics Seminar

3:35pm - Vincent Hall 570
Generalized Bott-Samelson resolutions for Schubert varieties
Eric Sommers, UMass Amherst
Abstract:

This talk focuses on generalized Bott-Samelson resolutions of Schubert varieties. These resolutions are iterated G/P-bundles (for different parabolic subgroups P of the algebraic group G). Special cases have appeared in the work of Zelevinsky, Wolper, Ryan and several other authors. After introducing these resolutions and some of their properties, we discuss a possible best resolution for a given Schubert variety X(w), based on a combinatorial condition on the inversion set of the Weyl group element w. If time permits, we will discuss a computer program that calculates local intersection cohomology (i.e., Kazhdan-Lusztig polynomials) from these resolutions. This is joint work with Jennifer Koonz.

Fri Apr 26

Ordway Lecture Series

3:35pm - Vincent Hall 6
New examples of Euler systems
Ordway Visitor Christopher Skinner, Princeton University
Abstract:

In this talk we will describe a number of new Euler systems and especially try to explain how the ideas from our 2nd lecture fit in. These new examples include Euler systems for Rankin-Selberg products for modular forms (due to Lei, Loeffler, and Zerbes), for Siegel modular forms of genus 2, and for products of unitary groups, among others.

Fri Apr 26

Probability Seminar

2:30pm - Vincent Hall 213
Majority vote processes on trees
Maury Bramson, UMN
Abstract:

The majority vote process was one of the first interacting particle systems to be investigated and can be described as follows. There are two possible opinions at each site and that opinion switches randomly to the majority opinion of the neighboring sites. Also, at a different rate epsilon, the opinion at each site randomly changes due to noise.

Despite its simple dynamics, the majority vote process is difficult to analyze. In particular, on Z^d with d>1 and epsilon chosen small, it is not known whether there exists more than one equilibrium. This is surprising due to the close analogy between the majority vote process and the Ising model.

Here, we discuss work with Larry Gray on the majority vote process on the infinite tree with vertex degree d, where it is shown that, for small noise, there are uncountably many mutually singular equilibria, and that convergence to equilibrium occurs exponentially quickly from nearby initial states. Our methods rely on graphical constructions; they are quite flexible and can be used to obtain analogous results for other models, such as the stochastic Ising model on a tree.

This is the first part of a two-lecture presentation, and will concentrate on background and on existence of equilibria. Larry Gray will give the second part the following week, which will concentrate on convergence.

Fri Apr 26

Special Events and Seminars

2:30pm - Vincent Hall 311
DRP End of Semester Presentations

Abstract:

Speaker:
Affiliation
Abstract:

Fri Apr 26

Ordway Lecture Series

1:25pm - Vincent Hall 301
Representations of Real Reductive Groups
Professor Kari Vilonen, University of Melbourne
Fri Apr 26

Probability Seminar

9:30am -
CANCELLED

Thu Apr 25

Colloquium

3:35pm - Vincent Hall 16
Recent progress on the Gan-Gross-Prasad and Ichino-Ikeda conjectures for unitary groups
Raphael Beuzart-Plessis, CNRS and Columbia University
Abstract:

A celebrated result of Waldspurger from the eighties express the central value of certain base-change L-functions for $GL_2$ as toric periods of modular forms or generalizations thereof. In the mid 2000s Gan, Gross and Prasad have formulated conjectural generalizations to higher rank classical groups relating the non-vanishing of central values of certain automorphic L-functions to the non-vanishing of certain explicit integrals of automorphic forms that are called 'automorphic periods'. These predictions have been subsequently refined by Ichino-Ikeda and N.Harris into precise identities relating the two invariants. These conjectures also have local counterparts which concern certain branching laws in the representation theory of real or p-adic groups. Most of these conjectures have now been established for unitary groups. This talk aims to give an introduction to this circle of ideas and to review recent results on the subject.

Thu Apr 25

Special Events and Seminars

2:30pm - Vincent Hall570
DRP End of Semester Presentations

Thu Apr 25

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Harmonic surfaces and simple loops
Vlad Markovic - Ordway Visitor, Caltech
Thu Apr 25

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Apr 25

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Apr 25

1:00pm - Walter B28
Test Seminar

Thu Apr 25

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Apr 25

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu Apr 25

Student Number Theory Seminar

11:00am - Vincent Hall 213
Applying to Jobs in Number Theory
Panel, University of Minnesota
Abstract:

Come hear recent graduates and current grad students discuss their experiences navigating the job market. This panel is hosted by the Student Number Theory seminar, but all graduate students are welcome to attend.

Thu Apr 25

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Apr 24

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Apr 24

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Apr 24

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Heaps and minuscule posets - coontinuation
Victor Reiner, University of Minnesota
Abstract:

We continue reviewing minuscule weights, their weight posets, and minuscule heaps, with the goal of eventually understanding Section 4 of the paper by Garver, Patrias and Thomas

Wed Apr 24

PDE Seminar

3:35pm - Vincent Hall 570
SERRIN LECTURE - Hydrodynamic stability and coherent structure at high Reynolds number
Jacob Bedrossian, Maryland
Abstract:

In this talk I will discuss recent work towards understanding certain stability questions for incompressible Euler or Navier-Stokes at high Reynolds number, the regime in which the viscous effects are weak. We will discuss the mechanisms which stabilize the most basic classes of equilbria: vortices and shear flows in 2D Navier-Stokes/Euler. These stabilization mechanisms, sometimes known as inviscid damping and enhanced dissipation arise from the skew-symmetric transport and the interaction between transport and the weak viscosity. We go on to discuss the roles such dynamics play in 3D, in particular, the manner in which two-dimensional stability can influence coherent structures in 3D. First, we discuss the subcritical transition of 3D shear flows -- the problem of obtaining quantitative estimates on the basin of stability of classical equilibria and the classification of solutions on the borderline of the stability domain. Second, the dynamics of vortex filaments in the 3D Navier-Stokes equations, which begins with understanding the local-in-time well-posedness with certain singular initial data, specifically, vorticity in a scale-invariant Morrey space of measures (in such a class, one does not have, nor does one expect, a general theory of local well-posedness). Connections to kinetic theory problems arising originally in plasma physics regarding nonlinear Landau damping will be addressed if time permits.

Wed Apr 24

Lie Theory Seminar

1:25pm - Vincent Hall 301
A new proof of the Jacquet-Rallis fundamental lemma
Professor Raphael Beuzart-Plessis, CNRS and Columbia University
Abstract:

The Jacquet-Rallis fundamental lemma is a local identity between (relative) orbital integrals which originates from the relative trace formula approach to the Gan-Gross-Prasad conjecture for unitary groups and is a crucial ingredient in the recent results of W. Zhang on this conjecture. It was established soon after its formulation by Z. Yun in positive characteristic using the same geometric ideas as in Ngô's proof of the endoscopic fundamental lemma and transferred to characteristic 0 by J. Gordon by model-theoretic techniques. In this talk, I will present an alternative proof of this fundamental lemma in characteristic zero which is purely local and based on harmonic analytic tools. We note that a third proof of this fundamental lemma has been recently proposed by W. Zhang through a similar although global argument.

Tue Apr 23

Ordway Lecture Series

3:35pm - Vincent Hall 16
Euler systems and local representation theory
Ordway Visitor Christopher Skinner, Princeton University
Abstract:

Many of the known examples of Euler systems come from special cycles on Shimura varieties. So algebraic groups are not far in the background. In this talk we will explain how some of the important properties of these Euler systems can be interpreted in terms of the representation theory of the corresponding groups.

Tue Apr 23

Special Events and Seminars

3:30pm - Vincent Hall 364
Vortex filaments in the 3D Navier-Stokes equations
Jacob Bedrossian, Maryland
Abstract:

We consider solutions of the Navier-Stokes equations in 3d with vortex filament initial data of arbitrary circulation, that is, initial vorticity given by a divergence-free vector-valued measure of arbitrary strength supported on a smooth curve. First, we prove global well-posedness for perturbations of the Oseen vortex column in scaling-critical spaces. Second, we prove local well-posedness (in a sense to be made precise) when the filament is a smooth, closed, non-self-intersecting curve. Besides their physical interest as a model for the coherent vortex filament structures observed in 3d fluids, these results are the first to give well-posedness (in a certain sense) in a neighborhood of large self-similar solutions of 3d Navier-Stokes, as well as solutions which are locally approximately self-similar. Joint work with Pierre Germain and Benjamin Harrop-Griffiths.

Tue Apr 23

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Apr 23

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Self-homeomorphisms of reducible 3-manifolds and applications in topology, geometry and dynamics.
Christoforos Neofytidis, University of Geneva
Abstract:

We recall the self-homeomorphisms of a closed oriented reducible 3-manifold. Using this description, we discuss various problems in low-dimensional topology and dynamics, such as the existence of Anosov tori in 3-manifolds (joint work with Shicheng Wang), the simplicial volume of mapping tori of 3-manifolds (joint work Michelle Bucher) and the virtual Betti numbers of mapping tori of 3-manifolds.

Tue Apr 23

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Apr 23

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon Apr 22

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Apr 22

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Classical properties of Epstein zeta functions
Adrienne Sands, University of Minnesota
Abstract:

Adrienne Sands of U of MN will continue on "Classical properties of Epstein zeta functions

Mon Apr 22

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Apr 22

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Apr 22

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Apr 22

IMA Data Science Lab Seminar

1:25pm - Lind 305
How Hard is it to Fool a Neural Net? A Mathematical Look at Adversarial Examples
Tom Goldstein, University of Maryland
Abstract:

Neural networks solve complex computer vision problems with human-like accuracy. However, it has recently been observed that neural nets are easily fooled and manipulated by "adversarial examples," in which an attacker manipulates the network by making tiny changes to its inputs. In this talk, I give a high-level overview of adversarial examples, and then discuss a newer type of attack called "data poisoning," in which a network is manipulated at train time rather than test time. Then, I explore adversarial examples from a theoretical viewpoint and try to answer a fundamental question: "Are adversarial examples inevitable?"

Tom is an Assistant Professor at University of Maryland. His research lies at the intersection of optimization and distributed computing, and targets applications in machine learning and image processing. He designs optimization methods for a wide range of platforms. This includes powerful cluster/cloud computing environments for machine learning and computer vision, in addition to resource limited integrated circuits and FPGAs for real-time signal processing. Before joining the faculty at Maryland, he completed his PhD in Mathematics at UCLA, and was a research scientist at Rice University and Stanford University. He has been the recipient of several awards, including SIAM’s DiPrima Prize, a DARPA Young Faculty Award, and a Sloan Fellowship.

Fri Apr 19

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Apr 19

MCFAM Seminar

5:30pm - Vincent Hall 16
2019 MFM Modeling Workshop Presentations- Yield Curve Construction and Valuation and Replication Strategies for Variance Derivatives
2019 FM Modeling Workshop Student Presenters, University of Minnesota
Abstract:

Two Teams of MFM students from the 2019 MFM Modeling Workshp will present their work to the Seminar. Each group will take a half hour to cover their topics, including Q & A

Yield Curve Construction: Calculating the present value of future cash flows is a crucial task for any trading desk. We will explore yield curve bootstrapping and interpolation techniques used to value financial instruments in a consistent framework. The pros and cons of each method will become apparent, and we will converge on an optimal technique that is consistent with major trading desks. Finally, we will see how the financial crisis changed yield curve construction, and fundamentally altered the way we think of the valuing future cash flows.

Valuation and Replication Strategies for Variance Derivatives:Variance derivatives have played a major role in the financial markets since the 1990s, as they provide pure exposure to volatility without other added effects. A primary instrument is variance swaps. In this project the participants will explore traditional theory of valuing variance swaps, and their continuous and discrete replication with vanilla derivatives. The connections among variance, volatility swaps, and VIX derivatives will be drawn, alongside examining non-parametric variance swap replication approaches.

Fri Apr 19

Combinatorics Seminar

3:35pm - Vincent Hall 570
K polynomials and matroids
Andrew Berget, Western Washington University
Abstract:

This talk is my about 2009 UMn PhD thesis problem which I have finally solved, only 10 years after the fact. The set-up was to take n vectors, tensor them together in n! ways, and consider their span as a representation of the symmetric group Sn. The problem was to see if the character of this representation could be determined knowing only the matroid of the n starting vectors. In this talk I present an affirmative solution to this problem, including an explicit generating function that computes the character from the matroid. The long overdue solution took a lengthy detour through representation theory, algebraic geometry and, fusing the two, equivariant K-theory. I will keep the technical aspects to a minimum, and focus on explaining how this problem in combinatorics led to a tractable geometric problem.

Fri Apr 19

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Apr 19

Probability Seminar

2:30pm - Vincent Hall 213
Optimal Spectral Shrinkage and PCA with Heteroscedastic Noise
Will Leeb, UMN
Abstract:

I will present recent results on the related problems of denoising, covariance estimation, and principal component analysis for the spiked covariance model with heteroscedastic noise. Specifically, I will present an estimator of the principal components based on whitening the noise, and optimal spectral shrinkers for use with these estimated principal components. I will also show new results on the optimality of whitening for principal subspace estimation. This is joint work with Elad Romanov of the Hebrew University.

Fri Apr 19

Probability Seminar

9:30am -
CANCELLED

Thu Apr 18

Colloquium

3:35pm - Vincent Hall 16
Teichmueller flow and complex geometry of Moduli Spaces
Vlad Markovic - Ordway Visitor, Caltech
Abstract:

I will explain why in general the Caratheodory and Teichmueller metrics do not agree on Teichmueller spaces and why this yields a proof of the convexity conjecture of Siu. Moreover, I will illustrate how deep theorems in Teichmueller dynamics play an important role in classifying Teichmueller discs where the two metrics agree.

Thu Apr 18

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 18

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry

Thu Apr 18

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Apr 18

Ordway Lecture Series

1:25pm - Vincent Hall 113
An introduction to Euler systems
Ordway Visitor Christopher Skinner, Princeton University
Abstract:

The breakthrough work of Kolyvagin on the Birch and Swinnerton-Dyer conjecture introduced the `method of Euler systems.' Euler systems -- when known to exist -- remain one of the most effective tools for studying class groups and Selmer groups and their relations to special values of L-functions. This is an area that has had a recent resurgence of activity, which we hope to describe in these talks. This talk will be an introduction to Euler systems and their main features.

Thu Apr 18

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Apr 18

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu Apr 18

Student Number Theory Seminar

11:00am - Vincent Hall 213
More Yang-Baxter Equations for Metaplectic Ice
Claire Frechette, University of Minnesota
Abstract:

In preparation for my oral exam, I will extend the existing connections between quantum groups and the study of spherical Whittaker models on metaplectic covering groups of GL(r,F), for F a nonarchimedean local field. Brubaker, Buciumas, and Bump showed that for a certain metaplectic n-fold cover of GL(r,F) a set of Yang-Baxter equations govern the behavior of the Whittaker functions and that these equations arise from a Drinfeld twist of a quantum affine Lie superalgebra. I will extend their results to all metaplectic covers of GL(r,F), showing that the same Yang-Baxter equations underlie the scattering matrix for the Whittaker functions over an nQ-fold metaplectic cover, where nQ is an integer determined by the cover, and that these equations arise from Drinfeld twists of quantum groups. (I will also define what most of these words mean.)

Thu Apr 18

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Apr 17

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Apr 17

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Apr 17

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Heaps and minuscule posets
Victor Reiner, University of Minnesota
Abstract:

We review minuscule weights, their weight posets, and minuscule heaps, with the goal of eventually understanding Section 4 of the paper by Garver, Patrias and Thomas.

Wed Apr 17

PDE Seminar

3:35pm - VinH 213
PDE Seminar

Wed Apr 17

PDE Seminar

3:35pm - Vincent Hall 570
On some recent results of Collisional Plasma in bounded domains
Chanwoo Kim, University of Wisconsin
Abstract:

In this talk we discuss Vlasov-Poisson-Boltzmann system in bounded domains. Some recent results on regularity and large time behavior of solutions will be presented.

Tue Apr 16

Colloquium

3:35pm - Vincent Hall 16
What's known about the Birch and Swinnerton-Dyer Conjecture
Ordway Visitor Christopher Skinner, Princeton University
Abstract:

The celebrated Birch and Swinnerton-Dyer (BSD) Conjecture connects the structure of the rational points on an elliptic curve defined over the rationals to the analytic properties of its associated Hasse-Weil L-function. This talk will recall the BSD conjecture (and its various parts) and related conjectures and survey some of the known results toward them, especially recent work.

This talk is intended for a general mathematical audience: no prior acquaintance with elliptic curves or even non-elementary number theory will be assumed.

Tue Apr 16

Dynamical Systems

2:30pm - Vincent Hall 313
The Origins of the Reaction Zone in Microtornado Experiments
Patrick Shipman, Colorado State University
Abstract:

In experimental systems involving diffusing and convecting vapors that react to form solid particulates, a complex sequence of nucleation and growth reactions produces pulsing charged crystals, oscillating fronts, and patterns such as beautiful 3-dimensional structures that we call “microtornadoes”, “microstalagtites”, and “microhurricanes”. We will review the rich history of these experiments, starting with a counterdiffusional experiment that figures in the pioneering work on diffusion of Dalton, Graham, Fick, and Stefan. Mathematical analysis will progress from a reaction-diffusion model for the origins of the initial reaction zone, to an analysis of oscillations and particle size distributions, to a fluid dynamical model. The insights carry over to similar structures in protein crystallization experiments and the formation of periodic structures in plants.

Tue Apr 16

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Apr 16

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon Apr 15

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Apr 15

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
The theorem of Dixmier-Malliavin and a question of Casselman
Dev Hegde, U of MN
Mon Apr 15

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Apr 15

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Apr 15

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Apr 15

IMA Data Science Lab Seminar

1:25pm - Lind 305
Recent Advances in Wasserstein Distributionally Robust Optimization
Rui Gao, The University of Texas at Austin
Abstract:

In this talk, we consider decision-making problems under data uncertainty. In particular, we study a framework, called Wasserstein distributionally robust optimization, that aims to find a decision that hedges against a set of distributions that are close to some nominal distribution in Wasserstein metric. This framework, although being an infinite dimensional optimization, has a finite-dimensional tractable reduction in various data-driven settings by virtue of duality, and is closely related to many regularization problems in statistical learning. I will discuss the generalization error bound and asymptotic properties of such framework, and compare it with other distributional uncertainty sets including divergence-based and moment-based sets. If time permits, I will talk about an application of the framework to robust classification with limited information.

Rui Gao is an Assistant Professor of Information, Risk, and Operations Management at the McCombs School of Business at the University of Texas at Austin. He received his Ph.D. in Operations Research from Georgia Institute of Technology in 2018. His current research interests lie in the intersection of decision-making under uncertainty and statistical learning, as well as their applications in data analytics. His work has been recognized with several INFORMS prize, including finalist in Nicholson student paper competition in 2016, runner-up in the Computing Society student paper prize in 2017, and winner of the Data Mining best paper award in 2017.

Fri Apr 12

MCFAM Seminar

5:30pm - Murphy Hall 130
Model Development & Delivery in Real World Quant Finance
Florian Huchede, Director & FX Lead Quant - CME Group
Abstract:

Over the last 10 years, financial companies have been increasingly using quantitative models for decision making. Well performing models can provide automatic and objective decision making as well as a certain ability to synthesize complex issues. However, models expose companies to model risk, higher development cost and longer delivery time. In this MCFAM seminar, we will cover how to reduce the model risk and time to market by using a model design process. Furthermore, we will apply the process on a particular example: OTC FX option volatility calibration.

Bio: Florian Huchedé is a Director of Quantitative Risk Management at CME Group. He leads an international team of quantitative analysts that work on designing, implementing and filing quantitative algorithms on various applications (settlement, pricing, data cleansing, risk management, product creation and large optimization). Furthermore, he is the lead quant for the FX and Equity asset classes.

Florian graduated from the Financial Mathematics program at University of Chicago (2010). He completed his undergraduate studies and MS in Engineering at Ecole Francaise d’Electronique et d’Informatique in Paris, France (2007). Prior to joining CME Group, he worked at Credit Agricole Asset Management Alternative Investment and at The Option Clearing Corporation.

With more than 10 years of experience, Florian is focused on innovation, creativity and giving back to the quant community. He holds three U.S. patents on risk management and financial products. Furthermore, he initiated a joint research program between University of Chicago and CME Group in 2012. Since then, the program has expanded and is being utilized by many other companies.

Fri Apr 12

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Apr 12

Lie Theory Seminar

3:35pm - Vincent Hall 313
Lie Theory Seminar

Fri Apr 12

Combinatorics Seminar

3:35pm - Vincent Hall 570
Some congruences for sums of binomial coefficients
Moa Apagodu, Virginia Commonwealth University
Abstract:

In a recent beautiful but technical article, William Y.C. Chen, Qing-Hu Hou, and Doron Zeilberger developed an algorithm for finding and proving congruence identities (modulo primes) of indefinite sums of many combinatorial sequences, namely those (like the Catalan and Motzkin sequences) that are expressible in terms of constant terms of powers of Laurent polynomials. We first give a leisurely exposition and then extend it in two directions. The Laurent polynomials may be of several variables, and instead of single sums we have multiple sums.

Fri Apr 12

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri Apr 12

1:25pm - Lind 305
Stating the Obvious - Job Search to Analytics Leadership
Sandhya Surapanenii, Stratasys
Abstract:

From "is networking really important" to "do hiring managers read cover letters", from "why should data exploration begin with a question" to "how to build a culture of data driven decision making", we have heard it all many, many times. But these are questions that warrant a reminder. And another. And another.

I hope to be that person and remind you of a few key strategies to employ in job search and best practices to avoid pitfalls in the business world. I will share failures and lessons from my experience in data management and analytics, as well as decode marketing function.

Sandhya Surapaneni (aka Sandy) works as a Global Marketing Analytics Leader at Stratasys, a pioneer in 3D printing technology. Her current focus is on building a foundation in analytics to integrate data-driven insights into every day business decisions that align with the company's long term strategy. Prior to joining Stratasys, Sandy worked as a Database Lead at BI Worldwide, building and supporting the data layer of several web applications. Sandy has a M.S in Computer Science from the University of Texas at Arlington and a M.S in Business Analytics from Carlson School of Management. Born and raised in India, she has been a Minneapolis resident for 13 years and enjoys its lakes and coffee shops.

Fri Apr 12

Probability Seminar

9:30am -
CANCELLED

Thu Apr 11

Special Events and Seminars

2:30pm - Vincent Hall 570
Informal Fluids Seminar with the speaker Samuel Punshon-Smith
Samuel Punshon-Smith
Thu Apr 11

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 11

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Semi-Ample Asymptotic Syzygies
Juliette Bruce
Abstract:

I will discuss the asymptotic non-vanishing of syzygies for products of projective spaces, generalizing the monomial methods of Ein-Erman-Lazarsfeld. This provides the first example of how the asymptotic syzygies of a smooth projective variety whose embedding line bundle grows in a semi-ample fashion behave in nuanced and previously unseen ways.

Thu Apr 11

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Apr 11

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu Apr 11

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Thu Apr 11

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Apr 10

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Apr 10

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Apr 10

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Reflection functors and nilpotent endomorphisms - continuation
Dongkwan Kim, University of Minnesota
Abstract:

We describe how the Jordan form data of quiver representations interact with reflection functors, continuing with the paper of Garver, Patrias and Thomas: Minuscule reverse plane partitions via quiver representations.

Wed Apr 10

PDE Seminar

3:30pm - Vincent Hall 570
Lagrangian chaos and scalar mixing in stochastic fluid mechanics
Samuel Punshon-Smith, Brown University
Abstract:

Lagrangian chaos refers to the chaotic behavior of
Lagrangian trajectories in a fluid. This chaotic behavior often
characterized by the dynamics having a positive Lyapunov exponent,
namely the property that initially close trajectories will separate at
an exponential rate after long time. In this talk we will consider a
variety of stochastically forced fluid models, including the 2
dimensional stochastic Navier-Stokes equations, and show that under
certain non-degeneracy conditions on the noise, the Lagrangian flow
possesses a positive Lyapunov exponent. The proof crucially uses the
theory of random dynamical systems as well as tools from Malliavin
calculus and control theory to satisfy a certain non-degeneracy
criterion originally due to Furstenberg. We will explore several
important consequences of a positive exponent for passive scalars
advected by the fluid. Most importantly, we show that these velocity
fields are almost sure exponential mixers. Specifically, using the
positive Lyapunov exponent, we obtain almost sure exponential decay in
time of passive scalars in any negative Sobolev norm through a
detailed study of ergodicity of the two point Lagrangian motion. This
work is joint with Jacob Bedrossian and Alex Blumenthal.

Wed Apr 10

Special Events and Seminars

2:30pm - Vincent Hall 213
Arithmetic level raising for unitary groups and Beilinson-Bloch-Kato conjecture (II)
Yifeng Liu, Yale University
Abstract:

In this series of two talks, we will introduce the recent progress on Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives of arbitrary rank. We will discuss an important technique used in the proof, namely, the arithmetic level raising for unitary groups of even rank. We will also mention other interesting results we obtained during the course of proof. This is based on a joint work with Y. Tian, L. Xiao, W. Zhang, and X. Zhu

Tue Apr 09

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Apr 09

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Apr 09

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Tue Apr 09

Special Events and Seminars

11:00am - Vincent Hall 213
Arithmetic level raising for unitary groups and Beilinson-Bloch-Kato conjecture (I)
Yifeng Liu, Yale University
Abstract:

In this series of two talks, we will introduce the recent progress on Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives of arbitrary rank. We will discuss an important technique used in the proof, namely, the arithmetic level raising for unitary groups of even rank. We will also mention other interesting results we obtained during the course of proof. This is based on a joint work with Y. Tian, L. Xiao, W. Zhang, and X. Zhu.

Mon Apr 08

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Apr 08

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Classical properties of Epstein zeta functions
Adrienne Sands, University of Minnesota
Mon Apr 08

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Apr 08

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Apr 08

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Apr 08

IMA Data Science Lab Seminar

1:25pm - Lind 305
A Brief Overview of Quantum Computing
Vlad Pribiag, University of Minnesota, Twin Cities
Abstract:

Quantum computing has been receiving rapidly-growing interest from both industry and government funding agencies in the last several years. In this talk, I will provide an introduction to the key concepts of quantum mechanics as related to quantum computing, and will then outline several areas were quantum computers could make substantial contributions not accessible to classical computers. I will also provide an overview of leading approaches for developing the building blocks of future quantum computers, including work from our lab.

Fri Apr 05

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Apr 05

Combinatorics Seminar

3:35pm - Vincent Hall 570
Topological combinatorics of crystal posets
Molly Lynch, North Carolina State University
Abstract:

Crystal bases were first introduced by Kashiwara when studying modules of quantum groups. Each crystal base has an associated directed, edge colored graph called a crystal graph. In many cases, these crystal graphs give rise to a natural partial order. In this talk, we study crystal posets associated to highest weight representations. We use lexicographic discrete Morse functions to connect the Möbius function of an interval in a crystal poset with the relations that exist among crystal operators within that interval. We will discuss some further directions for this work.

Fri Apr 05

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Apr 05

Probability Seminar

2:30pm - Vincent Hall 213
Frog model on trees with drift
Si Tang, Lehigh University
Abstract:

We provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a d-ary tree is recurrent. To do this, we introduce a subprocess that couples across trees with different degrees. Finding couplings for frog models on nested sequences of graphs is known to be difficult. The upper bound comes from combining the coupling with a new, simpler proof that the frog model on a binary tree is recurrent when the drift is sufficiently strong. This is a joint work with E. Beckman, N. Frank, Y. Jiang, and M. Junge.

Fri Apr 05

Probability Seminar

9:30am -
CANCELLED

Thu Apr 04

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 04

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Apr 04

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
An Analogue of the Hartshorne-Polini Theorem in Positive Characteristic
Zhang Wenliang, University of Illinois at Chicago
Abstract:

Recently, Hartshorne and Polini proved a theorem to characterize the
dimension of certain de Rham cohomology groups of a holonomic D-module
over complex numbers as the number of specific D-linear maps associated
with the holonomic D-module. In this talk, I will explain an analogue of
this result in positive characteristic for F-finite F-modules. This is a
joint work with Nicholas Switala.

Thu Apr 04

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Apr 04

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu Apr 04

Student Number Theory Seminar

11:00am - Vincent Hall 213
On congruence properties of Ramanujan tau function
Dev Hegde, University of Minnesota
Abstract:

Serre and Swinnerton-Dyer reproved many congruence relations around 1970 for the Ramanujan tau function by reinterpreting the relations in terms of l-adic representations. We will give an introduction to this topic.

Thu Apr 04

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Apr 03

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Apr 03

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Apr 03

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Reflection functors and nilpotent endomorphisms
Dongkwan Kim, University of Minnesota
Abstract:

We describe how the Jordan form data of quiver representations interact with reflection functors, continuing with the paper of Garver, Patrias and Thomas: Minuscule reverse plane partitions via quiver representations.

Wed Apr 03

PDE Seminar

3:30pm - Vincent Hall 570
Convexity of Whitham's highest cusped wavear
Bruno Vergara, Madrid
Abstract:

Whitham's model of shallow water waves is a non-local dispersive equation that features traveling wave solutions and also singularities. I will discuss a conjecture of Ehrnström and Wahlén on the profile of solutions of extreme form and show that there exists a highest, cusped and periodic solution convex between consecutive crests of $C^{1/2}$-regularity. The talk is based on joint work with A. Enciso and J. Gómez-Serrano.

Tue Apr 02

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Apr 02

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Apr 02

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon Apr 01

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Apr 01

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Classical facts about Epstein zeta functions
Adrienne Sands, University of Minnesota
Mon Apr 01

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Apr 01

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Quadratic Wasserstein Metrics for Nonlinear Inverse Problems
Kui Ren, Columbia University
Abstract:

In the absence of analytical reconstruction methods, numerical solutions of nonlinear inverse problems have been mostly based on least-square formulations where solutions are sought by minimizing the $L^2$ difference between model predictions and measured data. We present here recent computational studies of some nonlinear inverse problems where quadratic Wasserstein distances are used to measure the discrepancy between model predictions and measured data. Related numerical and theoretical issues will be discussed.

Mon Apr 01

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Apr 01

IMA Data Science Lab Seminar

1:25pm - Lind 305
How to Deal with Big Data? Understanding Large-scale Distributed Regression
Edgar Dobriban, Wharton School of the University of Pennsylvania
Abstract:

Modern massive datasets pose an enormous computational burden to practitioners. Distributed computation has emerged as a universal approach to ease the burden: Datasets are partitioned over machines, which compute locally, and communicate short messages. Distributed data also arises due to privacy reasons, such as with medical databases. It is important to study how to do statistical inference and machine learning in a distributed setting. In this talk, we present results about one-step parameter averaging in statistical linear models under data parallelism. We do linear regression on each machine, and take a weighted average of the parameters. How much do we lose compared to doing linear regression on the full data? Here we study the performance loss in estimation error, test error, and confidence interval length in high dimensions, where the number of parameters is comparable to the training data size. We discover several key phenomena. First, averaging is not optimal, and we find the exact performance loss. Second, different problems are affected differently by the distributed framework. Estimation error and confidence interval length increases a lot, while prediction error increases much less. These results match numerical simulations and a data analysis example. To derive these results, we rely on recent results from random matrix theory, where we also develop a new calculus of deterministic equivalents as a tool of broader interest.

Edgar Dobriban is an assistant professor of statistics at the Wharton School of the University of Pennsylvania. He obtained his PhD in Statistics in 2017 from Stanford University, advised by David Donoho, and his undergraduate degree in mathematics from Princeton University in 2012. His research interests are in developing statistical methods and theory for large-scale data analysis.

Fri Mar 29

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Mar 29

MCFAM Seminar

5:30pm - Vincent Hall 16
MFM Modeling Workshop Presentations - Machine Learning in Equity Classification and Smart Beta Investing in Commodities
2019 FM Modeling Workshop Student Presentations, University of Minnesota
Abstract:

Two Teams of MFM students from the 2019 MFM Modeling Workshop will present their work to the Seminar. Each group will take a half hour to cover their topics, including Q & A

Machine Learning in Equity Classification: This MFM modeling workshop team worked with various machine learning classification models with the goal of classifying equities via well-known quantitative factors such as Value and Momentum. The classification was supervised, utilizing a novel ETF dataset which was supplemented extensively. The team worked in Python, especially the Scikit Learn module. They will present their project to seminar attendees

Smart Beta Investing in Commodities: Ever since the first stocks and bonds were issued by the Dutch East India Company (VOC), investors have tried to understand what drives returns. Smart Beta strategies have gained popularity lately by offering the potential for better-than-market returns with better-defined risks, especially after the recognition in 2008 that multi-asset classes can experience severe losses at the same time despite their apparent intrinsic differences. Smart beta strategies can take many different forms, with a variety of objectives. They can simply aim at reducing risks (the “risk-based approach”) or enhancing return through exposure to systematic factors (the “factor-based” approach). In commodities investing, alternative index movement was born from frustration with the inherent biases of conventional indices. For example, negative commodity “roll yields” can erode returns by as much as 50%. This team explored the opportunities of constructing a commodity investment portfolio that uses different smart beta approaches to seek enhancing returns and risk reduction. Factors like curve, value, and momentum were examined in the back-test.

Fri Mar 29

Combinatorics Seminar

3:35pm - Vincent Hall 570
A combinatorial duality and the Sperner property for the weak order
Christian Gaetz, MIT
Abstract:

A poset is Sperner if its largest antichain is no larger than its largest rank. In the 1980's, Stanley used the Hard-Lefschetz Theorem to prove the Sperner property for strong Bruhat orders on Weyl groups. I will describe joint work with Yibo Gao in which we prove Stanley's conjecture that the weak Bruhat order on the symmetric group is also Sperner, by exhibiting a combinatorially-defined representation of sl2 respecting the structure of the weak and strong orders. I will explain how this representation gives rise to a combinatorial duality between the weak and strong Bruhat orders and leads to a strong order analogue of Macdonald's reduced word identity for Schubert polynomials.

Fri Mar 29

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Mar 29

Probability Seminar

2:30pm - Vincent Hall 213
Moments of scores
Sergey Bobkov, UMN
Abstract:

If a random variable X has an absolutely continuous
density f, its score is defined to be the random variable
\rho(X) = f'(X)/f(X), where f' is the derivative of f. We will discuss
upper bounds on the moments of the scores, especially in the
case when X represents the sum of independent random variables.

Fri Mar 29

1:25pm - Lind 305
So, How Do You Get a Job?
Chang Lee, Lowe's
Abstract:

I was late. I only decided to find a job in industry in the 4th year of my graduate study even though I never had a job outside of academia. The one question that I kept asking was: how do you get a job?

It was scary because I did't know what to do. But I ended up getting a job. And today, I think I'm doing fine.

If you are about to start on the path to industry but you feel that you are full of questions and doubts, then this talk may be for you. In this talk, I will show you two things:

1. my experience of going into industry, and
2. how to thrive in it.

You will walk away with guidelines and tips that I learned from my mistakes and observations. It will help you save time and avoid frustrations in the process.

Chang currently works as a data scientist at Lowe's. He entered into the data science field as an intern for a baseball team, the Tampa Bay Rays. He got his Ph.D in Mathematics from Vanderbilt University in 2017 under Alex Powell. Besides math and data, Chang has become a soul food advocate and survives on barbecue and hot chicken. You can learn more about his experience outside of academia at his blog: https://changhsinlee.com and his YouTube channel: https://youtube.com/c/softwareforscience

Fri Mar 29

Probability Seminar

9:30am -
CANCELLED

Thu Mar 28

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Mar 28

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Mar 28

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Bernstein-Sato polynomials in positive characteristic and Hodge theory
Thomas Bitoun, University of Toronto
Abstract:

Bernstein-Sato polynomials are fundamental in D-module theory. For
example, they are the main finiteness ingredient in the construction of
nearby cycles. We will present a positive characteristic analogue of the
Bernstein-Sato polynomials. After diving in the world of characteristic
p D-modules, we shall consider how our construction varies with the
prime p. This turns out to be related to questions of Hodge theory and
Poisson homology.

Thu Mar 28

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Mar 28

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Thu Mar 28

Student Number Theory Seminar

11:00am - Vincent Hall 213
On congruence properties of Ramanujan tau function
Dev Hegde, University of Minnesota
Abstract:

Serre and Swinnerton-Dyer reproved many congruence relations around 1970 for the Ramanujan tau function by reinterpreting the relations in terms of l-adic representations. We will give an introduction to this topic.

Thu Mar 28

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Mar 27

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Mar 27

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Mar 27

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Reflection functors
Dongkwan Kim, University of Minnesota
Abstract:

We define the notion of reflection functors between the categories of quiver representations and discuss some of their basic properties. After this, we explain how these functors are related to (generic) Jordan types and corresponding representations of quivers.

Wed Mar 27

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar
Luis Vega, Serrin Lecture
Tue Mar 26

Dynamical Systems

2:30pm - Vincent Hall 313
Ice issues in conceptual climate models
Alice Nadeau, University of Minnesota
Abstract:

Conceptual climate models are a necessary tool for scientists trying to understand Earth and other rocky planets because they can provide insight on predominant forces affecting a planet's climate. This talk will focus on Budyko-Sellers type energy balance models, a particular class of conceptual models used to study ice-albedo feedback in the climate system. In this talk I will discuss the different ways one can represent ice in these models, including some of my recent results in extending these models to other planets.

Tue Mar 26

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Mar 26

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar
TBA
Mon Mar 25

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Mar 25

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory

Mon Mar 25

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Low rankness in forward and inverse kinetic theory
Qin Li, University of Wisconsin
Abstract:

Multi-scale kinetic equations can be compressed: in certain regimes, the Boltzmann equation is asymptotically equivalent to the Euler equations, and the radiative transfer equation is asymptotically equivalent to the diffusion equation. A lot of detailed information is lost when a system passes to the limit. In linear algebra, it is equivalent to a system being of low rank. I will discuss such transition and how it affects the computation: mainly, in the forward regime, inserting low-rankness could greatly advances the computation, while in the inverse regime, the system being of low rank typically makes the problems significantly harder.

Mon Mar 25

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Mar 25

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Mar 25

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Mark Hsiao, Netflix, Inc
Fri Mar 22

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Mar 22

Combinatorics Seminar

3:35pm - Vincent Hall 570
Combinatorics Seminar

Fri Mar 22

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Mar 22

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri Mar 22

Probability Seminar

9:30am -
CANCELLED

Thu Mar 21

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Mar 21

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Mar 21

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Mar 21

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Mar 21

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Mar 21

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Thu Mar 21

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Mar 20

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Mar 20

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Mar 20

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Algebraic Representation Theory

Tue Mar 19

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Mar 19

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Mar 19

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Mar 18

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Mar 18

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory

Mon Mar 18

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Mar 18

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Mar 18

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Mar 15

First Year Seminar

5:30pm - Vincent 364
First Year Seminar
TBA
Fri Mar 15

Combinatorics Seminar

3:35pm - Vincent Hall 570
Cell Decompositions for Rank Two Quiver Grassmannians
Dylan Rupel, Michigan State University
Abstract:

A quiver Grassmannian is a variety parametrizing subrepresentations of a given quiver representation. Reineke has shown that all projective varieties can be realized as quiver Grassmannians. In this talk, I will study a class of smooth projective varieties arising as quiver Grassmannians for (truncated) preprojective representations of an n-Kronecker quiver, i.e. a quiver with two vertices and n parallel arrows between them. The main result I will present is a recursive construction of cell decompositions for these quiver Grassmannians motivated by the theory of rank two cluster algebras. If there is time I will discuss a combinatorial labeling of the cells by which their dimensions may conjecturally be directly computed. This is a report on joint work with Thorsten Weist.

Fri Mar 15

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Mar 15

Probability Seminar

2:30pm - Vincent Hall 213
The generalized TAP free energy
Wei-Kuo Chen, UMN
Abstract:

Spin glasses are disordered spin systems initially invented by theoretical physicists with the aim of understanding some strange magnetic properties of certain alloys. In particular, over the past decades, the study of the Sherrington-Kirkpatrick (SK) mean-field model via the replica method has received great attention. In this talk, I will discuss another approach to studying the SK model proposed by Thouless-Anderson-Palmer (TAP). I will explain how the generalized TAP correction appears naturally and give the corresponding generalized TAP representation for the free energy. Based on a joint work with D. Panchenko and E. Subag.

Fri Mar 15

Special Events and Seminars

2:30pm - Vincent Hall 1
Mathematical Physics, Algebraic Geometry, and Commutative Algebra
Nadia Ott
Fri Mar 15

1:25pm - Lind 305
Lecture
Karyn Sutton, The Institute for Disease Modeling
Fri Mar 15

Probability Seminar

9:30am -
CANCELLED

Thu Mar 14

Colloquium

3:35pm - Vincent Hall 16
Short-Time Asymptotic Methods In Financial Mathematics
Jose Figueroa-Lopez, Washington University
Abstract:

In this talk, we will be concerned with the average values of certain random functionals of the path of a stochastic process during a given time period. High-order asymptotic characterizations of such values when the time period shrinks to 0 have a wide range of applications. In statistics, they are instrumental in establishing infill asymptotic properties of high-frequency based statistical methods of stochastic processes. In finance, they have been used as model selection and calibration tools based on near expiration option prices. In some Engineering problems, they also show up as a method to solve a problem in continuous time by looking at the analogous problem in discrete time and shrinking the time step to 0. These short-time asymptotic methods are especially useful in the study of complex models with jumps and stochastic volatility due to the lack of tractable formulas and efficient statistical and numerical procedures. In this talk, I will discuss some recent advances in the area and illustrate their broad relevance in several contexts.

Bio: Dr. Figueroa-López is a Professor in the Department of Mathematics and Statistics at Washington University in St. Louis. He currently serves as part of the executive committee and the chair of the statistics committee of the Department. Formerly he was Associate Professor of Statistics at Purdue University, where he served as Associate Director of the Computational Finance Program and as a member of the University Senate. Professor Figueroa’s ongoing research includes short-time asymptotics of jump-diffusion models, diffusion limits of Limit Order Book models, optimal limit order placement problems, market making via reinforced learning, and optimal tuning of high-frequency based econometric methods. He was awarded the NSF career award in 2012 and currently has two active NSF grants on the interplay of finance, statistics, and probability. He is an Associate Editor of the SIAM Journal on Financial Mathematics (SIFIN) and a former Associate Editor of Electronic Journal of Statistics.

Thu Mar 14

Special Events and Seminars

1:25pm - Vincent Hall 113
Nearby cycles over general bases and duality
Weizhe Zheng, Chinese Academy of Sciences and Princeton University
Abstract:

Over one-dimensional bases, Gabber and Beilinson proved theorems on the commutation of the nearby cycle functor and the vanishing cycle functor with duality. In this talk, I will explain a way to unify the two theorems, confirming a prediction of Deligne. I will also discuss the case of higher-dimensional bases and applications to local acyclicity, following suggestions of Illusie and Gabber. This is joint work with Qing Lu.

Thu Mar 14

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Mar 14

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Towards Free Resolutions Over Scrolls
Aleksandra Sobieska-Snyder, Texas A&M
Abstract:

Free resolutions over the polynomial ring have a storied and active
record of study. However, resolutions over other rings are much more
mysterious; even simple examples can be infinite! In these cases, we
look to any combinatorics of the ring to glean information. This talk
will present a minimal free resolution of the ground field over the
semigroup ring arising from rational normal 2-scrolls, and (if time
permits) a computation of the Betti numbers of the ground field for all
rational normal k-scrolls.

Thu Mar 14

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Mar 14

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Mar 14

Student Number Theory Seminar

11:00am - Vincent Hall 213
Knots and Primes Part II: The Linking Number and Legendre Symbol
Katy Weber, University of Minnesota
Abstract:

We review the analogy between knots in 3-manifolds and prime ideals in number rings, and push it further to realize the Legendre symbol as the analogue of the (mod 2) linking number. This talk should be accessible even if you did knot attend seminar last week.

Thu Mar 14

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Mar 13

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Mar 13

AMS Intro to Research Seminar

5:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Mar 13

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Postponed
Dongkwan Kim, University of Minnesota
Abstract:

This talk is postponed to March 27.

Tue Mar 12

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Mar 12

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Mar 12

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Tue Mar 12

Special Events and Seminars

11:00am - Vincent 213
Compatible systems along the boundary
Weizhe Zheng, Chinese Academy of Sciences and Princeton University
Abstract:

A theorem of Deligne says that compatible systems of l-adic sheaves on a smooth curve over a finite field are compatible along the boundary. I will present an extension of Deligne's theorem to schemes of finite type over the ring of integers of a local field. This has applications to the equicharacteristic case of some conjectures on l-independence. I will also discuss the relationship with compatible wild ramification. This is joint work with Qing Lu.

Mon Mar 11

Representations of p-adic groups

7:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Mar 11

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory

Mon Mar 11

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Mar 11

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium
Canceled
Mon Mar 11

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Mar 11

IMA Data Science Lab Seminar

1:25pm - Lind 305
Robust and Phaseless PCA (and Subspace Tracking)
Namrata Vaswani, Iowa State University
Abstract:

Principal Components Analysis (PCA), a.k.a. subspace learning, is one of the most widely used dimension reduction techniques that attempts to find a low-dimensional subspace approximation of a given dataset. PCA is a solved problem when the observed data is relatively clean and lies in (or close to) a low-dimensional subspace. However, in many modern applications, the data are often either incomplete (missing data) or corrupted by outliers. Robust PCA refers to this harder problem of PCA in the presence of entry-wise outliers (sparse corruptions). An important example application is video analytics when slow-changing videos are corrupted by foreground occlusions, e.g., by moving vehicles or persons. For long data sequences, e.g., long surveillance videos, if one tries to use a single subspace to represent the entire sequence, the required subspace dimension may be too large. For such data, a better model is to assume that the data subspace can change with time, albeit gradually. This problem of tracking data lying in a slowly changing subspace, while being robust to additive sparse outliers is referred to as Robust Subspace Tracking (RST). While robust PCA has received a lot of attention in the last decade, its dynamic version, RST, was largely open until recently. In a recent body of work, we have introduced the first provably correct and practically usable online solution framework for RST that we call Recursive Projected Compressive Sensing (ReProCS). Our most recent work from ICML 2018 shows that a simple ReProCS-based algorithm provides a provably fast and nearly (delay and memory) optimal RST solution under mild assumptions: weakened standard robust PCA assumptions and subspace change that is slow enough compared to the smallest magnitude outlier entry. Our theoretical claims are also backed by extensive experimental evidence for two video applications.

In new work, we have looked at what can be called the ``Phaseless PCA’’ problem. This involves recovering a low-rank matrix from phaseless (magnitude-only) linear projections of each of its columns. It finds important applications in dynamic phaseless imaging applications, such as dynamic sub-diffraction imaging or Fourier ptychography, involving recovering a set of slowly-changing images that together form an approximately low-rank matrix (with each vectorized image being one column). We introduce a simple alternating minimization solution that can provable recover the low-rank matrix with sa

Fri Mar 08

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Mar 08

MCFAM Seminar

5:30pm - Vincent Hall 16
Feb 2018 Volatility Event
Yuepeng “Perry” Li, CFA, FRM, Parametric Portfolio Associates LLC
Abstract:

On the Monday of February 5th 2018, VIX Index (measure of expected future volatility) spiked by 116% to 37.3, and massive turbulence was observed across global financial markets. During the talk, we will review this event and discuss on the following topics:

  • How did we get there? --- Low volatility environment and the great snake of risk 
  • What happened? --- 2017’s hottest trades went wrong, and several funds and firms (!) were effectively wiped out
  • What did we learn? – Positioning, behavior, and never underestimate the risk of financial markets (convexity to volatility and VaR calcs)

 

Fri Mar 08

Combinatorics Seminar

3:35pm - Vincent Hall 570
Affine matrix-ball construction and its relation to representation theory
Dongkwan Kim, University of Minnesota
Abstract:

In 1985, Shi found a generalization of the Robinson-Schensted algorithm to (extended) affine symmetric groups and described their Kazhdan-Lusztig cells in terms of combinatorics. Recently, Chmutov, Lewis, Pylyavskyy, and Yudovina developed its generalization, called the affine matrix-ball construction (abbreviated AMBC). It provides a bijection from an (extended) affine symmetric group to the set of triples (P,Q,?) where P and Q are row-standard Young tableaux of the same shape and ? is an integer vector satisfying certain inequalities. In this talk, I will briefly explain this algorithm, and discuss how this is related to representation of (extended) affine symmetric groups, especially the asymptotic Hecke algebras introduced by Lusztig. This work is joint with Pavlo Pylyavskyy.

Fri Mar 08

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Mar 08

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri Mar 08

1:25pm - Lind 305
Internship/Job Searching 101: Answering Your Most Asked Beginner Questions
Whitney Moore, University of Minnesota, Twin Cities
Abstract:

Internship/job searching is a multifaceted process that can summon many questions along the way! During this workshop, we will aim to address your most asked questions about getting started with your search, including:
- Where to find internships/jobs to apply for
- What to look for and how to read an internship/job posting
- What you can be doing now and over the summer to help prepare for your search.
There will be time to discuss more questions during the session, so come with your questions in hand!

Whitney Moore has been a Career Counselor in the CSE Career Center at the University of Minnesota since the fall of 2011. Her passion lies in living a life of positivity and inspiring others to do the same, particularly while navigating career and leadership development. In addition to her work at the U of M, Whitney is a past President of the Minnesota College and University Career Services Association (MCUCSA) and holds degrees from Gustavus Adolphus College and Minnesota State University, Mankato. Away from campus, Whitney is motivated by running with her dog, competing in triathlon, eating baked goods, and exploring MN with her husband. As an utter positivist, you can also find her musings on living with positivity on Instagram at @ThePositivistExplorer!

Fri Mar 08

Probability Seminar

8:30am -
CANCELLED

Thu Mar 07

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Mar 07

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Mar 07

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Mar 07

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Mar 07

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Mar 07

Student Number Theory Seminar

11:00am - Vincent Hall 213
Knots and Primes
Eric Stucky, University of Minnesota
Abstract:

In this talk we will outline the basic premise for the analogy between knots (in manifolds) and primes (in number fields). This analogy involves some rather heavy definitions; we will review the topological background as needed, while taking a more intuitive angle on the arithmetic machinery. Time permitting, we will briefly sketch an extension of the Frobenius automorphism which is a major tool in understanding the analogy between the Legendre symbol and the linking number.

Thu Mar 07

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Mar 06

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Mar 06

AMS Intro to Research Seminar

6:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Mar 06

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Generic Jordan forms and plane partitions
Sam Hopkins, University of Minnesota
Abstract:

We continue the introduction of the Garver-Patrias-Thomas paper by
exploring what the map from a quiver representations to its generic Jordan
form looks like in the case of a Type A quiver, and explain how this map is
related to bijections and generating functions for plane partitions.

Wed Mar 06

PDE Seminar

3:35pm - Vincent Hall 570
Quantitative estimates of propagation of chaos for large systems of interacting particles
Zhenfu Wang, University of Pennsylvania
Abstract:

We present a new method to derive quantitative estimates proving the propagation of chaos for large stochastic or deterministic systems of interacting particles. Our approach requires to prove large deviations estimates for non-continuous potentials modified by the limiting law. But it leads to explicit bounds on the relative entropy between the joint law of the particles and the tensorized law at the limit; and it can be applied to very singular kernels that are only in negative Sobolev spaces and include the Biot-Savart law for 2D Navier-Stokes and 2D Euler. Joint work with P.-E. Jabin.

Tue Mar 05

Colloquium

3:35pm - Vincent Hall 16
Cohomology of Shimura varieties
Sug Woo Shin, U.C. Berkeley
Abstract:

Shimura varieties are a certain class of algebraic varieties over number fields with lots of symmetries, introduced by Shimura and Deligne nearly half a century ago. They have been playing a central role in number theory and other areas. Langlands proposed a program to compute the L-functions and cohomology of Shimura varieites in 1970s; this was refined by Langlands-Rapoport and Kottwitz in 1980s. I will review some old and recent results in this direction.

Tue Mar 05

Dynamical Systems

2:30pm - Vincent Hall 313
Measuring attractor strength using bounded, nonautonomous control
Kate Meyer, UMN
Abstract:

A topological definition of an attractor leaves out metric information relevant to modeling real-world systems, particularly how far the attractor persists against perturbations and error. This talk will review some existing approaches to measuring the strength of an attractor in metric terms and will introduce the quantity “intensity” to generalize basin steepness to systems of autonomous ODEs in arbitrary dimension. One can compute an attractor’s intensity by probing a domain of attraction with bounded, non-autonomous control and tracking the sets reachable from the attractor. A connection between reachable sets and isolating blocks implies that an attractor’s intensity not only reflects its capacity to retain solutions under time-varying perturbations, but also gives a lower bound on the distance the attractor continues in the space of vector fields.
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Tue Mar 05

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Mar 05

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Mar 04

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Mar 04

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory

Mon Mar 04

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Applied and Computational Mathematics Seminar

Mon Mar 04

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Mar 04

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Mar 04

IMA Data Science Lab Seminar

1:25pm - Lind 305
Peculiar Properties of Locally Linear Embedding -- Toward Theoretical Understanding of Unsupervised Learning
Hau-tieng Wu, Duke University
Abstract:

Since its introduction in 2000, the locally linear embedding (LLE) has been widely applied as an unsupervised learning tool. However, only few hand-waiving arguments are available to explain what is going on before 2018. For the sake of scientific soundness, we provide a systematic analysis of LLE, particularly under the manifold setup. In this talk, several theoretical results will be discussed. (1) We derive the corresponding kernel function, which in general is asymmetric and and not form a Markov process. (2) The regularization is critical. Different regularizations lead to dramatically different results. If chosen correctly, asymptotically we obtain the Laplace-Beltrami operator even under nonuniform sampling. (3) It has an intimate relationship with the local covariance analysis and tangent bundle structure. (4) When the boundary is not empty, we run into an interesting mixed-type differential equation. (5) An ingredient of the kernel provides a novel way to detect boundary, and hence a new approach to derive the Laplace-Beltrami operator with the Dirichlet boundary condition. If time permits, its relationship with several statistical topics like the locally linear regression and error in variable will be discussed. This is a joint work with Nan Wu.

Fri Mar 01

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Mar 01

MCFAM Seminar

5:30pm - Vincent Hall 16
Introduction to model selection principles for data analysis in the era of Big Data
Jie Ding, School of Statistics - University of Minnesota
Abstract:

In the era of “big data”, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are employed, a crucial step is to select the most appropriate model or method from a set of candidates. Model selection is a key ingredient in data analysis for reliable and reproducible statistical inference or prediction, and thus central to scientific studies in fields such as ecology, economics, engineering, finance, political science, biology, and epidemiology. There has been a long history of model selection techniques that arise from researches in statistics, information theory, and signal processing. A considerable number of methods have been proposed, following different philosophies and exhibiting varying performances. The purpose of this talk is to bring an overview of them, in terms of their motivation, large sample performance, and applicability. I will provide practically relevant discussions on theoretical properties of state-of- the-art model selection approaches, and share some thoughts on controversial views on the practice of model selection.

Bio for Jie Ding: https://cla.umn.edu/statistics/news-events/story/new-faculty-member-char...

Fri Mar 01

Combinatorics Seminar

3:35pm - Vincent Hall 570
Quotients of symmetric polynomial rings deforming the cohomology of the Grassmannian
Darij Grinberg
Abstract:

One of the many connections between Grassmannians and combinatorics is cohomological: The cohomology ring of a Grassmannian Gr(k,n) is a quotient of the ring S of symmetric polynomials in k variables. More precisely, it is the quotient of S by the ideal generated by the k consecutive complete homogeneous symmetric polynomials hn?k+1,hn?k+2,...,hn. We propose and begin to study a deformation of this quotient, in which the ideal is instead generated by hn?k+1?a1,hn?k+2?a2,...,hn?ak for some k fixed elements a1,a2,...,ak of the base ring. This generalizes both the classical and the quantum cohomology rings of Gr(k,n). We find two bases for the new quotient, as well as an S3-symmetry of its structure constants, a "rim hook rule" for straightening arbitrary Schur polynomials, and a fairly complicated Pieri rule. We conjecture that the structure constants are nonnegative in an appropriate sense (treating the ai as signed indeterminate), which suggests a geometric or combinatorial meaning for the quotient. There are multiple open questions and opportunities for further research.

Fri Mar 01

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Mar 01

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri Mar 01

1:25pm - Lind 305
Lecture
Sohan Das, EVS, Inc.
Fri Mar 01

Probability Seminar

8:30am -
CANCELLED

Thu Feb 28

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Feb 28

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Feb 28

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Virtual Resolutions of Monomial Ideals
Jay Yang, University of Minnesota
Abstract:

Virtual resolutions as defined by Berkesch, Erman, and Smith,
provide a more geometrically meaningful generalization of free
resolutions in the case of subvarieties of a toric variety. In this
setting I prove an analog of Hilbert's syzygy theorem for virtual
resolutions of monomial ideals in toric varieties subject to some mild
conditions.

Thu Feb 28

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Feb 28

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Feb 28

Student Number Theory Seminar

11:00am - Vincent Hall 213
Finite Hecke Algebras and Their Characters
Andy Hardt, University of Minnesota
Abstract:

We explore some of the major results in the study of finite Hecke algebras and their character tables. These algebras are useful in the study of representations of finite Chevalley groups, and also appear in the study of quantum groups and knot/link invariants. We'll run through some equivalent definitions of this versatile object, and then talk about a couple approaches to its character theory. In particular, Starkey's rule is a combinatorial formula for the character table of the type A finite Hecke algebra. We'll briefly sketch a proof of this result and talk about the possibility for extension to other types. Starkey's rule allows us to calculate the weights of Ocneanu traces, which are important invariants in knot theory relating to type A Hecke algebras, and a type B version of Starkey's rule would give us insights into the type B analogue to Ocneanu traces.

Thu Feb 28

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Feb 27

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups

Wed Feb 27

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Jordan form data of quiver representations
Sam Hopkins, University of Minnesota
Abstract:

We introduce the paper of Garver, Patrias and Thomas: Minuscule reverse plane partitions via quiver representations, starting with a review of aspects of quiver representations.

Wed Feb 27

AMS Intro to Research Seminar

12:20pm - Vincent Hall 570
AMS Intro to Research Seminar
Adrienne Sands
Tue Feb 26

Dynamical Systems

2:30pm - Vincent Hall 313
Spectral Consequences of Hidden Symmetry in Network Dynamical Systems
Eddie Nijholt, UIUC
Abstract:

Network dynamical systems play an important role in many fields of science; whenever there are agents whose time evolution is linked through some interaction structure, we may view the system as a network and model it accordingly. However, despite their prevalence, network dynamical systems are in general not well understood. One can identify two reasons for this. First of all, many coordinate changes and other transformations from well-known dynamical systems techniques do not respect the underlying network structure. Second of all, despite this somewhat `ethereal' character, systems with a network structure often display behavior that is highly anomalous for general dynamical systems. Examples of this include very unusual bifurcation scenarios and high spectral degeneracies. As a possible explanation of this, it can be shown that a large class of network ODEs admit hidden symmetry, which may be discovered through the so-called fundamental network construction. In most cases, this underlying symmetry does not come from a group though, but rather from a more general algebraic structure such as a monoid or category. I will show how the fundamental network allows one to adapt techniques from dynamical systems theory to a network setting, and how some of the more unusual properties of networks may be explained. In doing so, I will mostly focus on spectral properties of linear network maps.
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Tue Feb 26

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Feb 26

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Feb 25

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Feb 25

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Integral representations and meromorphic continuations of Eisenstein series and L-functions
Paul Garrett, University of Minnesota
Mon Feb 25

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Primal dual methods for Wasserstein gradient flows
Li Wang, University of Minnesota
Abstract:

We develop a variational method for nonlinear equations with a gradient flow structure. Such equations arise in applications of a wide range, such as porous median flows, material science, animal swarms, and chemotaxis. Our method builds on the JKO framework, which evolves the equation as a gradient flow with respect to the Wasserstein metric. As a result, our method has built-in positivity preserving, entropy decreasing properties, and overcomes stability issue due to the strong nonlinearity and degeneracy. Furthermore, our method is massively parallelizable, and thus extremely efficient in high dimensions. Upon discretization of the PDE constraint, we also prove the ??convergence of the fully discrete optimization towards the continuum JKO scheme.

Mon Feb 25

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Feb 25

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Feb 25

IMA Data Science Lab Seminar

1:25pm - Lind 305
Strong Coresets for k-Median and Subspace Approximation: Goodbye Dimension
David Woodruff, Carnegie Mellon University
Abstract:

We obtain the first strong coresets for the k-median and subspace approximation problems with sum of distances objective function, on n points in d dimensions, with a number of weighted points that is independent of both n and d; namely our coresets have size poly(k/eps). A strong coreset (1+eps)-approximates the cost function for all possible sets of centers simultaneously. We also give input sparsity time algorithms for computing these coresets, which are fixed parameter tractable in k/eps. We obtain the result by introducing a new dimensionality reduction technique for coresets that significantly generalizes earlier results for squared Euclidean distances to sums of p-th powers of Euclidean distances for constant p >= 1.

Joint work with Christian Sohler

Fri Feb 22

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Feb 22

MCFAM Seminar

5:30pm - Vincent Hall 112
The Prospect of a Forgivable Premium Insurance Policy
Kyle Jore, University of Minnesota
Abstract:

Despite low premiums and high subsidies, farmers view crop insurance programs as a gamble. One explanation, in a revenue protection program, is that farmers exhibit loss aversion when premiums are just above coverage. Introducing a model for conditional loss aversion (CLA), in the context of cumulative prospect theory, it can be shown that the introduction of a forgivable premium can remove the producers loss aversion. This would result in producers being willing to spend more on an insurance program and thus, allow for a reduction in the implied subsidy.

Bio: https://www.linkedin.com/in/kylejore/

Fri Feb 22

Combinatorics Seminar

3:35pm - Vincent Hall 570
Counting factorizations in complex reflection groups
Joel Lewis, George Washington University
Abstract:

In this talk, I'll discuss ongoing work with Alejandro Morales generalizing a 30-year old result of Jackson on permutation enumeration: we consider the enumeration of arbitrary factorizations of a Coxeter element in a well generated finite complex reflection group, keeping track of the fixed space dimension of the factors. As in the case of the symmetric group, the factorization counts are ugly, so the goal is to choose a basis for the generating function in which the answer is nice. In the case of the infinite families of monomial matrices, we accomplish this via combinatorial arguments; a notion of transitivity of a factorization appears for the "type D" group G(m, m, n). I'll also describe some puzzling partial results in the exceptional cases.

Fri Feb 22

PDE Seminar

3:35pm - Vincent Hall 311
Special PDE Seminar - How to obtain parabolic theorems from their elliptic counterparts
Blair Davey, City College of New York
Abstract:

Experts have long realized the parallels between elliptic and parabolic theory of partial differential equations. It is well-known that elliptic theory may be considered a static, or steady-state, version of parabolic theory. And in particular, if a parabolic estimate holds, then by eliminating the time parameter, one immediately arrives at the underlying elliptic statement. Producing a parabolic statement from an elliptic statement is not as straightforward. In this talk, we demonstrate a method for producing parabolic theorems from their elliptic analogs. Specifically, we show that an $L^2$ Carleman estimate for the heat operator may be obtained by taking a high-dimensional limit of $L^2$ Carleman estimates for the Laplacian. Other applications of this technique will be discussed.

Fri Feb 22

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Feb 22

Probability Seminar

2:30pm - Vincent Hall 213
Largest Entries of Sample Correlation Matrices from Equi-correlated Normal Populations
Tiefeng Jiang, UMN
Abstract:

We the limiting distribution of the largest off-diagonal entry of the sample correlation matrices of high-dimensional Gaussian populations with equi-correlation structure. Assume the entries of the population distribution have a common correlation coefficient r >0 and both the population dimension p and the sample size n tend to infinity with log p=o(n^{1/3}).
As 0< r<1, we prove that the largest off-diagonal entry of the sample correlation matrix converges to a Gaussian distribution, and the same is true for the sample covariance matrix as 0< r<1/2. This differs substantially from a well-known result for the independent case where r=0, in which the above limiting distribution is an extreme-value distribution. We then study the phase transition between these two limiting distributions and identify the regime of r where the transition occurs. It turns out that the thresholds of such a regime depend on n and converge to zero. If r is less than the threshold, larger than the threshold or is equal to the threshold, the corresponding limiting distribution is the extreme-value distribution, the Gaussian distribution and a convolution of the two distributions, respectively. The proofs rely on a subtle use of the Chen-Stein Poisson approximation method, conditioning, a coupling to create independence and a special property of sample correlation matrices. The results are then applied to evaluating the power of a high-dimensional testing problem of identity correlation matrix.

Fri Feb 22

1:25pm - Lind 305
Industrial Problems in Digital Retail
Samantha Schumacher, Target Corporation
Abstract:

Target is rapidly growing into the online retail space. Behind that growth, there are a lot of advanced mathematical problems to solve. Some mathematics problems in supply chain are easy to spot (traveling salesman problem!), and some are less obvious. We’ll talk through at least 2 less-obvious problems which are currently being investigated by Target’s Supply Chain analytics teams. The goal of this talk is to give insight into the broad range of problems we are solving at Target. Additionally, I’ll spend a little time talking about solutions. What makes a good solution in Industry? What makes a good problem?

Samantha Schumacher has been working math problems at Target for the last 5 years. She currently leads an analytics and engineering team for the network planning & digital fulfillment of Target’s supply chain. She has her PhD in applied mathematics from University of Minnesota and an undergraduate degree in theater from Smith College. So, if all goes according to plan, she will use those theater skills to keep the talk engaging! She is also the long-time author of the blog: www.SocialMathematics.net which considers the interaction of mathematics and the modern world.

Fri Feb 22

Probability Seminar

8:30am -
CANCELLED

Thu Feb 21

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Feb 21

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Feb 21

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Feb 21

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Feb 21

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Feb 21

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar - Cancelled

Thu Feb 21

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Feb 20

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups
TBD
Wed Feb 20

AMS Intro to Research Seminar

6:20pm - Vincent Hall 570
AMS Intro to Research Seminar

Wed Feb 20

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Semisimplicity of Deligne's category Rep(S_t)
Peter Webb, University of Minnesota
Abstract:

Continuing to follow the paper of Comes and Ostrik, On blocks of Deligne's category Rep(S_t), we prove the result in Section 3 that the category is semisimple except for countably. many values of t. The proof is an interesting use of the characterization of semisimple algebras by non-degeneracy of the trace form.

Tue Feb 19

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Feb 19

Math Physics Seminar

12:20pm - Vincent Hall 209
Invariants of Finite and Discrete Group Actions Via Moving Frames
Peter Olver
Abstract:

The equivariant moving frame method is adapted to algorithmically construct complete, minimal sets of generating invariants for finite or, more generally, discrete group actions, both linear and nonlinear. The resulting invariants are piecewise analytic and admit a rewrite rule that allows one to immediately express any other invariant (polynomial, rational, smooth, analytic, etc.) as a function of the generating invariants. The talk will be elementary and no a priori knowledge of invariant theory or moving frames will be assumed.

Tue Feb 19

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Feb 18

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups

Mon Feb 18

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Integral Representations
Paul Garrett, University of Minnesota
Mon Feb 18

Applied and Computational Mathematics Seminar

3:35pm - Vincent Hall 113
Nonperturbative nonlinear effects in the dispersion relations for TE and TM plasmons on two-dimensional materials
Vera Andreeva
Abstract:

We analytically obtain the dispersion relations for transverse-electric (TE) and transverse-magnetic (TM) surface plasmon-polaritons in a nonlinear two-dimensional (2D) conducting material with inversion symmetry lying between two Kerr-type dielectric media. To this end, we use Maxwell's equations within the quasielectrostatic, weakly dissipative regime. We show that the wavelength and propagation distance of surface plasmons decrease due to the nonlinearity of the surrounding dielectric. In contrast, the effect of the nonlinearity of the 2D material depends on the signs of the real and imaginary parts of the third-order conductivity. Notably, the dispersion relations obtained by naively replacing the permittivity of the dielectric medium by its nonlinear counterpart in the respective dispersion relations of the linear regime are not accurate. We apply our analysis to the case of doped graphene and make predictions for the surface plasmon wavelength and propagation distance.

Mon Feb 18

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 313
Applied and Computational Math Colloquium

Mon Feb 18

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Feb 15

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Feb 15

MCFAM Seminar

5:30pm - Vincent Hall 16
Simulating the Greeks of American Options
P.A. (Phuong Anh) Nguyen, University of Minnesota
Abstract:

Abstract: In this paper, we implement an efficient simulation-based method for estimating the Greeks of American options. We perform a least square regression to determine the optimal stopping rule that is applied to calculate the Greeks, which are derived via a path-wise derivative approach. We prove that this method provides asymptotically unbiased simulation estimators for the Greeks. In addition, we propose a boundary integral technique as a faster way to approximate gamma. This technique can also be used to calculate delta and theta. Our paper is the first to provide complete simulation-based approximations for all of the Greeks (delta, gamma, theta, rho, and vega) of American options. To make the computational process more efficient, we incorporate a Brownian Bridge into the numerical simulations. We then extend the application to American basket options.

Bio: P.A. Nguyen is a PhD candidate in the University of Minnesota's Industrial Systems Engineering (ISyE) Doctoral Program. She is working with Dr. Dan Mitchell whose focus is in the area of financial engineering, specifically applying stochastic control to problems in finance and quantitative risk management. P.A. is also an alumna of the Master of Financial Mathematics (MFM) at the University of Minnesota (2014) and is currently a teaching assistant for the MFM. She worked in enterprise risk management, primarily in credit risk and interest rate risk areas, for a few years before joining UMN’s ISyE PhD program.

Fri Feb 15

Lie Theory Seminar

3:35pm - Vincent Hall 313
Lie Theory Seminar
Lue Pan,, University of Chicago
Fri Feb 15

Special Events and Seminars

3:35pm - Vincent Hall 313
Fontaine-Mazur conjecture in the residually reducible case (II)
Lue Pan, University of Chicago
Abstract:

We prove the modularity of some two-dimensional residually reducible p-adic Galois representations over Q when p is at least 5. In the first talk, I will present a generalization of Emerton's local-global compatibility result. In the second talk, I will use this compatibility result to make a patching argument for completed homology in this setting.

Fri Feb 15

Combinatorics Seminar

3:35pm - Vincent Hall 570
Plabic R-Matrices
Sunita Chepuri, University of Minnesoa
Abstract:

Postnikov's plabic graphs in a disk are used to parametrize totally positive Grassmannians. One of the key features of this theory is that if a plabic graph is reduced, the face weights can be uniquely recovered from boundary measurements. On surfaces more complicated than a disk this property is lost. In this talk, we investigate a certain semi-local transformation of weights for plabic networks on a cylinder that preserves boundary measurements. We call this a plabic R-matrix. We explore the properties of the plabic R-matrix, including the symmetric group action it induces on plabic networks and its underlying cluster algebra structure.

Fri Feb 15

Probability Seminar

2:30pm - Vincent Hall 213
Probability Seminar

Fri Feb 15

Probability Seminar

8:30am -
CANCELLED

Thu Feb 14

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Feb 14

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Feb 14

Special Events and Seminars

1:25pm - Vincent Hall 113
Fontaine-Mazur conjecture in the residually reducible case (I)
Lue Pan, University of Chicago
Abstract:

We prove the modularity of some two-dimensional residually reducible p-adic Galois representations over Q when p is at least 5. In the first talk, I will present a generalization of Emerton's local-global compatibility result. In the second talk, I will use this compatibility result to make a patching argument for completed homology in this setting.

Thu Feb 14

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Feb 14

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Feb 14

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Feb 14

Student Number Theory Seminar

11:00am - Vincent Hall 213
Counting Number Fields, Second Order Asymptotics, and Hurwitz Spaces
Greg Michel, University of Minnesota
Abstract:

I'll introduce well-known counting conjectures related to number fields of bounded discriminants, and then I'll talk about some semi-related topological ideas that may allow us to strengthen these conjectures in certain situations.

Thu Feb 14

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Feb 13

Representations of p-adic groups

8:30pm - Vincent Hall 213
Representations of p-adic groups
TBD
Wed Feb 13

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Indecomposable objects in Deligne's category Rep(S_t) - continuation
Peter Webb, University of Minnesota
Abstract:

We continue with Section 3 of the paper by Comes and Ostrik, On blocks of Deligne's category Rep(S_t). Section 3 begins with the result that the indecomposable objects are parametrized by partitions of all sizes, and this has to do with a description of the idempotents in the partition algebras. We use a fundamental relationship that goes back to Green, between idempotents an algebra, and idempotents in a factor algebra by an idempotent, and in the algebra obtained by cutting by that idempotent.

Wed Feb 13

AMS Intro to Research Seminar

12:20pm - Vincent Hall 570
1st Annual AMS Sock Derangement
TBA
Abstract:

In combinatorics there is a classic problem about a "hat check," where patrons submit their hats, return slips are lost, and people get them back willy nilly. People get sad, angry, happy, you name it! In fact, as the number of people checking hats goes to infinity, the probability that NO ONE gets their hat back goes to 1/e! Well, here at the U of M math department, we are all about generalizations. Therefore, we present to you: The 1st annual AMS Sock Derangement! (a generalization of the AMS hat check)

Tue Feb 12

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Feb 12

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Feb 12

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Tue Feb 12

PDE Seminar

10:00am - Vincent Hall 570
Global existence in incompressible fluid equations
Javier Gomez-Serrano, Princeton University
Abstract:

There has been high scientific interest to understand the behavior of the surface quasi-geostrophic (SQG) equation because it is a possible model to explain the formation of fronts of hot and cold air and because it also exhibits analogies with the 3D incompressible Euler equations. It is not known at this moment if this equation can produce singularities or if solutions exist globally. In this talk, I will discuss some recent works on the existence of global solutions for the SQG and modified SQG equations.

Mon Feb 11

MCFAM Distinguished Lecture Series

5:30pm - Vincent Hall 16
Coding Capital: The Legal vs. The Digital Code
Katharina Pistor, Columbia Law School
Abstract:

In my forthcoming book, “The Code of Capital: How Law Creates Wealth and Inequality”, I argue that capital is coded in law, or more specifically in core institutions of private law, including property, collateral, trust, corporate, bankruptcy as well as contract law. These “modules” of the code of capital bestow critical attributes on simple assets, such as objects or claims, and there by transform them from simple into a wealth generating assets. These attributes are priority, durability, convertibility and universality, and critically, they depend on effective state backing. Recently, law has met a potential competitor in the form of the digital code. Blockchain and similar technologies, in particular, makes it possible to encode commitments such that they will be executed irrespective of a change of heart, or circumstances. Decentralized verification of resources and rights instead of ex post vindication of legal title promises a world without courts and without coercive law enforcement. In short, “a new code” may be on the horizon and its relation to the legacy, or legal, code raises fundamental questions about how to organize economic relations in an uncertain world and about who gets to set the parameters for doing so.

Bio: Katharina Pistor is the Edwin B. Parker Professor of Comparative Law at Columbia Law School and director of the Law School’s Center on Global Legal Transformation. Her research and teaching spans corporate law, corporate governance, money and finance, property rights, comparative law and law and development. She has published widely in legal and interdisciplinary journals and is the author can co-author of several books. She is the recipient of the Max Planck Research Award (2012) and of several grants by, among others the Institute for New Economic Thinking, and the National Science Foundation. Her most recent book, “The Code of Capital: How the Law Creates Wealth and Inequality” is forthcoming at Princeton University Press.

Mon Feb 11

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Integral representations of cuspidal-data Eisenstein series
Paul Garrett, University of Minnesota
Mon Feb 11

PDE Seminar

3:35pm - Vincent Hall 313
Computer-Assisted Proofs in Partial Differential Equations
Javier Gomez-Serrano, Princeton University
Abstract:

In the last 50 years computing power has experienced an enormous development: every two years the number of transistors has doubled since the 1970s. However, even nowadays when we can perform very fast computations it is not clear a priori if one can obtain rigorous results based on the output of computer calculations. In this talk I will explain the basics of interval analysis and how it can be used to prove theorems in different contexts of PDE, ranging from fluid dynamics to spectral geometry.

Mon Feb 11

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Feb 11

Applied and Computational Mathematics Seminar

3:30pm - Vincent Hall 113
Applied and Computational Mathematics Seminar
Vera Andreeva rescheduled - February 18
Mon Feb 11

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Greg Shakhnarovich, Toyota Technological Institute at Chicago
Fri Feb 08

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Feb 08

MCFAM Seminar

5:30pm - Vincent Hall 16
Today's Seminar - Canceled
Jie Ding, School of Statistics - University of Minnesota
Abstract:

In the era of “big data”, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are employed, a crucial step is to select the most appropriate model or method from a set of candidates. Model selection is a key ingredient in data analysis for reliable and reproducible statistical inference or prediction, and thus central to scientific studies in fields such as ecology, economics, engineering, finance, political science, biology, and epidemiology. There has been a long history of model selection techniques that arise from researches in statistics, information theory, and signal processing. A considerable number of methods have been proposed, following different philosophies and exhibiting varying performances. The purpose of this talk is to bring an overview of them, in terms of their motivation, large sample performance, and applicability. I will provide practically relevant discussions on theoretical properties of state-of- the-art model selection approaches, and share some thoughts on controversial views on the practice of model selection.

Bio for Jie Ding
https://cla.umn.edu/statistics/news-events/story/new-faculty-member-char...

Fri Feb 08

Combinatorics Seminar

3:35pm - Vincent Hall 570
Whitney Numbers for Cones
Galen Dorpalen-Barry, University of Minnesota
Abstract:

An arrangement of hyperplanes dissects space into connected components called chambers. A nonempty intersection of halfspaces from the arrangement will be called a cone. The number of chambers of the arrangement lying within the cone is counted by a theorem of Zaslavsky, as a sum of certain nonnegative integers that we will call the cone's "Whitney numbers of the 1st kind". For cones inside the reflection arrangement of type A (the braid arrangement), cones correspond to posets, chambers in the cone correspond to linear extensions of the poset, and these Whitney numbers refine the number of linear extensions. We present some basic facts about these Whitney numbers, and interpret them for two families of poset

Fri Feb 08

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Feb 08

Probability Seminar

2:30pm - Vincent Hall 213
Stability of the Bakry-Emery theorem on R^n
Tom Courtade, UC Berkeley
Abstract:

In R^n, the Bakry-Émery theorem states that the sharp constant in various functional inequalities for uniformly log-concave measures is no worse than the sharp constant for the Gaussian measure. As a consequence, uniformly log-concave measures inherit certain nice features of the Gaussian, like good measure concentration properties.

In this talk, I'll discuss quantitative stability estimates for the Bakry-Émery bound on logarithmic Sobolev and Poincaré constants. In particular, if a 1-uniformly log-concave measure has almost the same logarithmic Sobolev or Poincaré constant as the standard Gaussian measure, then it must (almost) split off a Gaussian factor. As a corollary, we obtain dimension-free stability estimates for Gaussian concentration of Lipschitz functions. The proofs combine Stein’s method, optimal transport, and simple variational arguments.

Joint work with Max Fathi.

Fri Feb 08

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Lecture
Karyn Sutton, The Institute for Disease Modeling
Fri Feb 08

Probability Seminar

8:30am -
CANCELLED

Thu Feb 07

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Feb 07

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Feb 07

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Feb 07

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Feb 07

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Feb 07

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Thu Feb 07

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Feb 06

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Indecomposable objects in Deligne's category Rep(S_t)
Peter Webb, University of Minnesota
Abstract:

We will start on Section 3 of the paper by Comes and Ostrik, On blocks of Deligne's category Rep(S_t). This will be preceded by a review of the set-up in this category, which is built up out of partition algebras. Section 3 begins with the result that the indecomposable objects are parametrized by partitions of all sizes.

Tue Feb 05

Colloquium

3:35pm - Vincent Hall 16
A Multiscale/Multiphysics Coupling Framework for Heart Valve Damage
Yue Yu, Lehigh University
Abstract:

Bioprosthetic heart valves (BHVs) are the most popular artificial replacements for diseased valves that mimic the structure of native valves. However, the life span of BHVs remains limited to 10-15 years, and the mechanisms that underlie BHVs failure remain poorly understood. Therefore, developing a unifying mathematical framework which captures material damage phenomena in the fluid-structure interaction environment would be extremely valuable for studying BHVs failure. Specifically, in this framework the computational domain is composed of three subregions: the fluid (blood) , the fracture structure (damaged BHVs) modeled by the recently developed nonlocal (peridynamics) theory, and the undamaged thin structure (undamaged BHVs). These three subregions are numerically coupled to each other with proper interface boundary conditions.

In this talk, I will introduce two sub-problems and the corresponding numerical methods we have developed for this multiscale/multiphysics framework. In the first problem the coupling strategy for fluid and thin structure is investigated. This problem presents unique challenge due to the large deformation of BHV leaflets, which causes dramatic changes in the fluid subdomain geometry and difficulties on the traditional conforming coupling methods. To overcome the challenge, the immersogeometric method was developed where the fluid and thin structure are discretized separately and coupled through penalty forces. To ensure the capability of the developed method in modeling BHVs, we have verified and validated this method. The second problem focuses on the nonlocal Neumann-type interface boundary condition which plays a critical role in the fluid—peridynamics coupling framework. In the nonlocal models the Neumann-type boundary conditions should be defined in a nonlocal way, namely, on a region with non-zero volume outside the surface, while in fluid—structure interfaces the hydrodynamic loadings from the fluid side are typically provided on a sharp co-dimensional one surface. To overcome this challenge, we have proposed a new nonlocal Neumann-type boundary condition which provides an approximation of physical boundary conditions on a sharp surface, with an optimal asymptotic convergence rate to the local counter part. Based on this new boundary condition, we have developed a fluid—peridynamics coupling framework without overlapping regions.

Tue Feb 05

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Feb 05

Math Physics Seminar

12:20pm - Vincent Hall 209
Choreography in 3-body Classical Mechanics
Sasha Turbiner, ICN-UNAM, Mexico
Abstract:

By definition the choreography (dancing curve) is the trajectory
on which n classical bodies move chasing each other without collisions
with equal time delay. The first choreography (the remarkable Figure Eight)
at zero angular momentum was discovered unexpectedly by C Moore
(Santa Fe Institute) in 1993 for 3 equal masses in R^3 Newtonian gravity, numerically
and rigorously confirmed by Chenciner-Montgomery (2000). At the moment
about 6,000 choreographies are known, all numerically, in Newtonian gravity.
Possibly all known dancing curves are non-algebraic.

Does there exist (non)-Newtonian gravity for which the dancing curve is known
analytically? - Yes, a single example is known - it is the algebraic
lemniscate by Jacob Bernoulli (1694) - and it will be a concrete subject of the talk. Astonishingly, Newtonian Figure Eight coincides with algebraic lemniscate with
\chi^2 deviation 10^{-7}. Both choreographies admit any odd numbers of bodies
on them. 3-body choreography on algebraic lemniscate defines maximally
superintegrable trajectory with seven constants of motion and, possible,
polynomial algebra of integrals.

Tue Feb 05

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Feb 04

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory
Postponed
Mon Feb 04

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Feb 04

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Tom Needham, The Ohio State University
Fri Feb 01

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA
Fri Feb 01

MCFAM Seminar

5:30pm - Vincent Hall 16
Computational Issues in Making Math Models Operational in Insurance
Scott Monitor, VP & Financial Engineer - MFM alumnus, FSA
Abstract:

Many insurance companies offer a wide array of investment guarantees, and some of these are complicated and have no clear analytical solution. In order to manage these contracts and along with increased scrutiny from regulatory bodies, companies are having to value these contracts more frequently and in a greater number of runs. We will demonstrate methodologies and computational approaches to be able to perform analysis on these contract that can be actionable and timely.

Fri Feb 01

Combinatorics Seminar

3:35pm - Vincent Hall 570
Enumerating Linear Systems on Graphs
David Perkinson, Reed College
Abstract:

To play the dollar game on a graph, start by assigning to each vertex a number of dollars of either wealth or debt. From this initial state, called a "divisor", the vertices lend and borrow with their neighbors according to chip-firing rules in an attempt to reach a debt-free state. The set of all possible winning states is the "complete linear system" of the divisor. We are interested in determining its cardinality. In the figure below, each vertex represents one of the 201 winning positions resulting from giving ten dollars to one vertex of the cycle graph on five vertices. This is joint work with Sarah Brauner and Forrest Glebe.

Fri Feb 01

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Feb 01

Probability Seminar

2:30pm - Vincent Hall 213
Nonequilibrium particle systems in inhomogeneous space
Leonid Petrov, University of Virginia
Abstract:

I will discuss stochastic interacting particle systems in the Kardar-Parisi-Zhang universality class evolving in one-dimensional inhomogeneous space. The inhomogeneity means that the speed of a particle depends on its location. I will focus on integrable cases, i.e., for which certain observables can be written in an exact form suitable for asymptotic analysis. Examples include a new continuous-space version of TASEP (totally asymmetric simple exclusion process), and the pushTASEP (=long-range TASEP). For integrable systems, limit shapes of particles density can be described in an explicit way. Asymptotics of fluctuations around infinite traffic jams, also available explicitly, bring phase transitions of a novel nature.

Fri Feb 01

Probability Seminar

8:30am -
CANCELLED

Thu Jan 31

Colloquium

3:35pm - Vincent Hall 16
From infinite random matrices over finite fields to square ice
Leonid Petrov, University of Virginia
Abstract:

Asymptotic representation theory of symmetric groups is a rich and beautiful subject with deep connections with probability, mathematical physics, and algebraic combinatorics. A one-parameter deformation of this theory related to infinite random matrices over a finite field leads to randomization of the classical Robinson-Schensted correspondence between words and Young tableaux. Exploring such randomizations we find unexpected applications to six vertex (square ice) type models and traffic systems on a 1-dimensional lattice.

Thu Jan 31

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Jan 31

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Jan 31

Commutative Algebra Seminar

1:25pm - Vincent Hall 301
Commutative Algebra Seminar

Thu Jan 31

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Jan 31

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Jan 31

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Thu Jan 31

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Wed Jan 30

Algebraic Representation Theory Seminar

4:40pm - Vincent Hall 206
Postponed to next week
Peter Webb, University of Minnesota
Abstract:

We will start on Section 3 of the paper by Comes and Ostrik, On blocks of Deligne's category Rep(S_t). This will be preceded by a review of the set-up in this category, which is built up out of partition algebras. Section 3 begins with the result that the indecomposable objects are parametrized by partitions of all sizes.

Tue Jan 29

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Jan 29

Math Physics Seminar

12:20pm - Vincent Hall 209
Higher order superintegrability, Painlevé transcendents and representations of polynomial algebras
Ian Marqutte, University of Queensland
Abstract:

I will review results on classification of quantum superintegrable systems on two-dimensional Euclidean space allowing separation of variables in Cartesian coordinates and possessing an extra integral of third or fourth order. The exotic quantum potential satisfy a nonlinear ODE and have been shown to exhibit the Painleve property. I will also present different constructions of higher order superintegrable Hamiltonians involving Painleve transcendents using four types of building blocks which consist of 1D Hamiltonians allowing operators of the type Abelian, Heisenberg, Conformal or Ladder. Their integrals generate finitely generated polynomial algebras and representations can be exploited to calculate the energy spectrum. I will point out that for certain cases associated with exceptional orthogonal polynomials, these algebraic structures do not allow to calculate the full spectrum and degeneracies. I will describe how other sets of integrals can be build and used to provide a complete solution.

Tue Jan 29

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Jan 28

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 207
Automorphic Forms and Number Theory
Postponed
Mon Jan 28

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Jan 28

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Guanglin Xu, University of Minnesota, Twin Cities
Fri Jan 25

First Year Seminar

6:30pm - Vincent 364
First Year Seminar
TBA, TBA
Fri Jan 25

MCFAM Seminar

5:30pm - Vincent Hall 16
No MCFAM Seminar

Fri Jan 25

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Jan 25

Probability Seminar

2:30pm - Vincent Hall 213
Large deviations for sparse random graphs
Nicholas Cook, Stanford University
Abstract:

Let $G=G(N,p)$ be an Erd\H{o}s--R\'enyi graph on $N$ vertices (where each pair is connected by an edge independently with probability $p$). We view $N$ as going to infinity, with $p$ possibly going to zero with $N$. What is the probability that $G$ contains twice as many triangles as we would expect? I will discuss recent progress on this ``infamous upper tail" problem, and more generally on tail estimates for counts of any fixed subgraph. These problems serve as a test bed for the emerging theory of \emph{nonlinear large deviations}, and also connect with issues in extending the theory of \emph{graph limits} to handle sparse graphs. In particular, I will discuss our approach to the upper tail problems via new versions of the classic regularity and counting lemmas from extremal combinatorics, specially tailored to the study of random graphs in the large deviations regime. This talk is based on joint work with Amir Dembo.

Fri Jan 25

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Lecture
Eric Lind, Metro Transit
Fri Jan 25

Probability Seminar

8:30am -
CANCELLED

Thu Jan 24

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Jan 24

Algebraic Geometry

1:25pm - Vincent Hall 113
Algebraic Geometry Seminar

Thu Jan 24

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club

Thu Jan 24

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Thu Jan 24

Student Number Theory Seminar

11:00am - Vincent Hall 213
Student Number Theory Seminar

Thu Jan 24

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 570
Reading Seminar on Automorphic Forms

Tue Jan 22

Dynamical Systems

2:30pm - Vincent Hall 313
Dynamical Systems Seminar

Tue Jan 22

Colloquium

2:30pm - Vincent Hall 16
Multiscale Problems in Cell Biology
Chuan Xue, Ohio State University
Abstract:

Complex biological systems involve multiple space and time scales. To get an integrated understanding of these systems involves multiscale modeling, computation and analysis. In this talk, I will discuss two such examples in cell biology and illustrate how to use multiscale methods to explain experimental data. The first example is on chemotaxis of bacterial populations. I will present recent progress on embedding information of single cell dynamics into models of cell population dynamics. I will clarify the scope of validity of the well-known Patlak-Keller-Segel chemotaxis equation and discuss alternative models when it breaks down. The second example is on the axonal cytoskeleton dynamics in health and disease. I will present a stochastic multiscale model that gave the first mechanistic explanation for the cytoskeleton segregation phenomena observed in many neurodegenerative diseases.

Tue Jan 22

Math Physics Seminar

12:20pm - Vincent Hall 209
Math Physics Seminar

Tue Jan 22

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Mon Jan 21

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Jan 18

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Jan 18

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Jan 18

Probability Seminar

8:30am -
CANCELLED

Thu Jan 17

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Jan 15

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Mon Jan 14

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Jan 11

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Jan 11

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Jan 11

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Jan 11

Probability Seminar

8:30am -
CANCELLED

Thu Jan 10

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Jan 08

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Mon Jan 07

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Jan 04

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Jan 04

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Jan 04

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Jan 04

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Jan 04

Probability Seminar

8:30am -
CANCELLED

Thu Jan 03

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Jan 01

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Mon Dec 31

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Dec 28

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Dec 28

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Dec 28

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Dec 28

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Dec 28

Probability Seminar

8:30am -
CANCELLED

Thu Dec 27

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Dec 25

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Mon Dec 24

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Fri Dec 21

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Dec 21

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Dec 21

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Dec 21

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Dec 21

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Dec 21

Probability Seminar

8:30am -
CANCELLED

Thu Dec 20

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Dec 20

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Projective Geometry, Complex Hyperbolic Space, and Geometric Transitions
Steve Trettel, UC Santa Barbara
Abstract:

The natural analog of Teichmuller theory for hyperbolic manifolds in dimension 3 or greater is trivialized by Mostow Rigidity, so mathematicians have worked to understand more general deformations. Two well studied examples, convex real projective structures and complex hyperbolic structures, have been investigated extensively and provide independently developed deformation theories. Here we will discuss a surprising connection between the these, and construct a one parameter family of geometries deforming complex hyperbolic space into a new geometry built out of real projective space and its dual. This connects the aforementioned deformation theories and provides geometric motivation for a representation-theoretic observation of Cooper, Long, and Thistlethwaite

Thu Dec 20

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Dec 20

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Dec 20

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory
TBA
Thu Dec 20

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Dec 19

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Dec 18

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Dec 18

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Dec 18

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Mon Dec 17

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Automorphic Forms and Number Theory

Mon Dec 17

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Dec 17

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Dec 17

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Dec 17

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Dec 14

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Dec 14

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Dec 14

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Dec 14

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Dec 14

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Dec 14

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Dec 14

Probability Seminar

8:30am -
CANCELLED

Thu Dec 13

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Dec 13

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Dec 13

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Dec 13

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Dec 13

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Dec 13

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Galois Representations and the Modularity Theorem
Andy Hardt, University of Minnesota
Abstract:

I will continue Katy's talk from last week, and talk about chapter 9 of Diamond and Shurman's "A First Course in Modular Forms." We'll define Galois representations corresponding to both elliptic curves and modular forms. Then we'll state the modularity theorem, which asserts that every elliptic curve corresponds to a modular form, and their Galois representations are equal. If we have time, we'll relate this back to the version of the theorem from last week, which equated points on an elliptic curve to Fourier coefficients of a modular form. The proof of the theorem, however, will be left as an exercise to the listener.

Thu Dec 13

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Dec 12

PDE Seminar

3:35pm - Vincent Hall 570
Scattering for the 3D Gross-Pitaevskii equation
Zihua Guo, Monash University
Abstract:

We study the Cauchy problem for the 3D Gross-Pitaevskii equation. Global well-posedness in the natural energy space was proved by Gerard.
We prove scattering for small data in the same space with some additional angular regularity, and in particular in the radial case we obtain small energy scattering.
The crucial ingredients are new generalized Strichartz estimates and some new observed "NULL" structures of the Gross-Pitaevskii equation after some normal form type transform.
This is a joint work with Zaher Hani and Kenji Nakanishi.

Tue Dec 11

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Dec 11

Math Physics Seminar

12:20pm - Vincent Hall 313
Application of Invariant Signatures: Solving Jigsaw Puzzles
Rob Thompson
Tue Dec 11

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Dec 11

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Dec 10

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Automorphic Forms and Number Theory

Mon Dec 10

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Dec 10

Special Events and Seminars

3:35pm - Vincent Hall 207
Optimal transport on graphs with Applications
Wuchen Li
Abstract:

In recent years, optimal transport has many applications in evolutionary dynamics, statistics, and machine learning. In this talk, we introduce dynamical optimal transport on finite graphs. We proposed to study the probability simplex as a Riemannian manifold with a Wasserstein metric. We call it a probability manifold. Various developments, especially the Fokker-Planck equation, will be introduced. The entropy production on graphs related to Shannon entropy will be established. Its connection with Fisher information and Yano’s formula will be studied. Many examples, including Mean field games, geometry of graphs, statistical learning problems, will be presented.

Mon Dec 10

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: The geometric average size of Selmer groups over function fields
Aaron Landesman, Stanford
Abstract:

We use topological methods to investigate the average size of n-Selmer groups of elliptic curves over F_q(t).
Loosely speaking, the n-Selmer group of an elliptic curve measures objects which look like the n-torsion of the elliptic curve.
We relate the question of computing the average size of the n-Selmer group to demonstrating
homological stability for a sequence of moduli spaces
of these n-Selmer elements.
Via monodromy arguments, we show the number of components of these moduli spaces stabilizes, which determines the
average size after taking a large q limit.

Mon Dec 10

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Dec 10

IMA Data Science Lab Seminar

1:25pm - Lind 305
Stratifying High-Dimensional Data Based on Proximity to the Convex Hull Boundary
Lori Ziegelmeier, Macalester College
Abstract:

The convex hull of a set of points,C, serves to expose extremal properties of C and can help identify elements in C of high interest. For many problems, particularly in the presence of noise, the true vertex set (and facets) may be difficult to determine. One solution is to expand the list of high interest candidates to points lying near the boundary of the convex hull. We propose a quadratic program for the purpose of stratifying points in a data cloud based on proximity to the boundary of the convex hull. For each data point, a quadratic program is solved to determine an associated weight vector. We show that the weight vector encodes geometric information concerning the point’s relationship to the boundary of the convex hull. The computation of the weight vectors can be carried out in parallel, and for a fixed number of points and fixed neighborhood size, the overall computational complexity of the algorithm grows linearly with dimension. As a consequence, meaningful computations can be completed on reasonably large, high-dimensional data sets.

Lori Ziegelmeier received an A.S. and A.A. from Colby Community College in 2005. She completed her B.S. in Mathematics and B.A. in Liberal Arts and History, M.S. in Mathematics, and Ph.D. in Mathematics all at Colorado State University in 2007, 2009, and 2013, respectively. Since completing her doctoral degree, she has been in the Department of Mathematics, Statistics, and Computer Science at Macalester College and is currently an Assistant Professor. Her research is in the area of geometric and topological data analysis.

Mon Dec 10

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Dec 07

MCFAM Seminar

5:30pm - Vincent Hall 16
Data Visualization in R
Chen Zhang, Sr. Consultant, Analytics & Research at Travelers; Ph.D. in Statistics from UConn; UMN MFM Alumnus
Abstract:

Data visualization is often overlooked by people working with data and/or modeling but can in fact reveal very useful insight into problems at hand. R is an open-source programming language for statistical computing and graphics with increasing popularity among practitioners in data science and machine learning in recent years. The "ggplot2" package in R, in particular, provides very powerful, intuitive and versatile tools for data visualization. An overview of these tools will be presented in this talk accompanied by a live demo.

Fri Dec 07

Lie Theory Seminar

3:35pm - Vincent Hall 313
Finiteness of Frobenius traces of a de Rham local system
Koji Shimizu, University of California, Berkeley
Abstract:

Every smooth projective variety over a number field yields a Galois representation via etale cohomology, and the Weil conjecture tells that its Frobenius traces are integers. Fontaine and Mazur conjectured that Galois representations satisfying a local condition (de Rham) arise from geometry and hence have a similar finiteness property. In this talk, I will focus on de Rham local systems on algebraic varieties and explain a finiteness of Frobenius traces follows from the Fontaine-Mazur conjecture for Galois representations and the generalized Riemann Hypothesis

Fri Dec 07

Combinatorics Seminar

3:35pm - Vincent Hall 570
Catalan Functions and k-Schur functions
Anna Pun, Drexel University
Abstract:

Li-Chung Chen and Mark Haiman studied a family of symmetric functions called Catalan (symmetric) functions which are indexed by pairs consisting of a partition contained in the staircase (n-1, ..., 1,0) (of which there are Catalan many) and a composition weight of length n. They include the Schur functions, the Hall-Littlewood polynomials and their parabolic generalizations. They can be defined by a Demazure-operator formula, and are equal to GL-equivariant Euler characteristics of vector bundles on the flag variety by the Borel-Weil-Bott theorem. We have discovered various properties of Catalan functions, providing a new insight on the existing theorems and conjectures inspired by Macdonald positivity conjecture. A key discovery in our work is an elegant set of ideals of roots that the associated Catalan functions are k-Schur functions and proved that graded k-Schur functions are G-equivariant Euler characteristics of vector bundles on the flag variety, settling a conjecture of Chen-Haiman. We exposed a new shift invariance property of the graded k-Schur functions and resolved the Schur positivity and k-branching conjectures by providing direct combinatorial formulas using strong marked tableaux. We conjectured that Catalan functions with a partition weight are k-Schur positive which strengthens the Schur positivity of Catalan function conjecture by Chen-Haiman and resolved the conjecture with positive combinatorial formulas in cases which capture and refine a variety of problems. This is joint work with Jonah Blasiak, Jennifer Morse and Daniel Summers.

Fri Dec 07

Topology Seminar

3:30pm - 301 Vincent Hall
Topology Seminar: Power operations in normed motivic spectra
Tom Bachmann, MIT
Abstract:

In joint work with M. Hoyois, we established (the beginnings of) a theory of "normed motivic spectra". These are motivic spectra with some extra structure, enhancing the standard notion of a motivic E_oo-ring spectrum (this is similar to the notion of G-commutative ring spectra in equivariant stable homotopy theory). It was clear from the beginning that the homotopy groups of such normed spectra afford interesting *power operations*. In ongoing joint work with E. Elmanto and J. Heller, we attempt to establish a theory of these operations and exploit them calculationally. I will report on this, and more specifically on our proof of a weak motivic analog of the following classical result of Würgler: any (homotopy) ring spectrum with 2=0 is generalized Eilenberg-MacLane.

Fri Dec 07

Probability Seminar

2:30pm - Vincent Hall 209
When particle systems meet PDEs
Li-Cheng Tsai, Columbia University
Abstract:

Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three paradigmatic facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems.

Fri Dec 07

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Dec 07

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
The definition of Deligne's category Rep(S_t) - continuation
Cecily Santiago, University of Minnesota
Abstract:

We will complete the steps in the definition of Deligne's category described in section 2.2 of the paper, On blocks of Deligne's category Rep(S_t), by Comes and Ostrik.

Fri Dec 07

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
When Seeing is not Believing: New Forensics Algorithms to Detect Image Manipulations
Michael Albright, Honeywell
Abstract:

Modern image editing software has made it possible to alter images in ways that can dramatically change the image content, yet the images may appear authentic to humans. While there are countless beneficial applications of photo editing, image manipulations can also be used in harmful ways – e.g., altered images may be published to cause reputational harm, sway public opinions, influence elections, etc. Furthermore, with the growing popularity of social media and online sharing platforms, it is increasingly easy for altered media to go viral. What’s more, recent breakthroughs in artificial intelligence (AI) are making it dramatically easier to produce altered images, and even altered videos, that appear photo realistic. Hence, there is growing interest in developing new forensic methods that can detect manipulations in images and video. In this talk, I will give an overview of my team’s work on the DARPA-funded Media Forensics (MediFor) Project to develop novel machine-learning algorithms for automated detection and localization of media manipulations.

Michael Albright is a senior data scientist in the Data Science and Video Analytics group in Honeywell Labs in Golden Valley, Minnesota. Since joining Honeywell in 2015, he has invented new technologies that solve challenging problems for internal Honeywell businesses and external customers. His work has involved applying machine learning, optimization, and other applied math and computer science techniques to a variety of problems in domains ranging from Internet of Things (IoT) systems to computer vision applications. Michael earned a Ph.D. in theoretical physics from the University of Minnesota in 2015 and has previous industry experience at Cray, Inc.

Fri Dec 07

MathCEP Seminar

10:10am - Vincent Hall 364
Experiments in STEM Education
Michelle Driessen, University of Minnesota
Abstract:

The general chemistry program has been experimenting with several new pedagogies in order to improve student learning and successful outcomes. I’ll begin with our placement system and new adaptive courseware/learning analytics project, and will discuss any other project as time allows.

1. ALEKS Placement/Learning Modules
2. Adaptive Courseware (Smart Sparrow)
Using Adaptivity and Learning Analytics to Identify At-Risk Students and Implement Early Interventions
3. Absolute grading in 1061
Six Lower-Stakes Exams + Final
E-proctored Exams – available over a 12 hour window
4. Credit/No Credit Grading in Lab Courses + Specifications Grading

Fri Dec 07

Probability Seminar

8:30am -
CANCELLED

Thu Dec 06

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Dec 06

Colloquium

3:35pm - Vincent Hall 16
Number theory over function fields and geometry
Will Sawin, Columbia University
Abstract:

The function field model involves taking problems in
classical analytic number theory and replacing the integers with
polynomials over a finite field. This preserves most of the complexity
of these problems while giving them a stronger relationship to
geometry, allowing new techniques to be applied. We will explain how
this works using a recent example involving sums of the divisor
function where, thanks to good luck, particularly simple methods can
prove a particularly powerful result.

Thu Dec 06

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Enumerative geometry: old and new
Felix Janda, University of Michigan
Abstract:

For as long as people have studied geometry, they have counted
geometric objects. For example, Euclid's Elements starts with the
postulate that there is exactly one line passing through two distinct
points in the plane. Since then, the kinds of counting problems we are
able to pose and to answer has grown. Today enumerative geometry is a
rich subject with connections to many fields, including combinatorics,
physics, representation theory, number theory and integrable systems.

In this talk, I will show how to solve several classical counting
questions. Then I will describe a more modern problem with roots in
string theory which has been the subject of intense study for the last
two decades, namely the study of the Gromov-Witten invariants of the
quintic threefold, a Calabi-Yau manifold. I will explain a recent
break-through in understanding the higher genus invariants that stems
from a seemingly unrelated problem related to the study of holomorphic
differentials on Riemann surfaces.

Thu Dec 06

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Dec 06

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Dec 06

Student Number Theory Seminar

12:20pm - Vincent Hall 313
A Tour of the Modularity Theorem
Katy Weber, University of Minnesota
Abstract:

The Modularity Theorem (also known as the Taniyama-Shimura-Weil Conjecture) states, essentially, that every elliptic curve arises from a modular form. It is a special case of the Langlands correspondence and was a major part of Andrew Wiles' proof of Fermat's Last Theorem. In this talk, I will sketchily discuss the theorem in its various forms, leading up to the statement that the L-function of an elliptic curve agrees with the L-function of a modular form. Along the way, we will encounter some algebraic geometry words, e.g. "moduli space," "universal curve," and "sheaf."

Thu Dec 06

Climate Seminar

11:15am - Vincent Hall 570
Stability of traveling pulses in the FitzHugh--Nagumo equations
Paul Carter, University of Arizona
Abstract:

Traveling waves arise in partial differential equations in a broad range of applications, for instance chemical reactions, propagation of electrical signals, or the dynamics of traffic jams. The notion of stability of a traveling wave solution concerns its resilience to small perturbations and can usually be inferred from an eigenvalue problem obtained by linearizing the PDE about the solution. In this talk, I will discuss these ideas in the context of the FitzHugh--Nagumo system, a simplified model of nerve impulse propagation. I will present existence and stability results for (multi)pulse solutions, and I will describe a phenomenon whereby unstable eigenvalues accumulate as a single pulse is continuously deformed into a double pulse

Thu Dec 06

Special Events and Seminars

11:00am - Tate Hall B20
p-adic local systems in p-adic geometry
Koji Shimizu, University of California, Berkeley
Abstract:

An etale p-adic local system on a rigid analytic variety can be regarded as a family of p-adic Galois representations parametrized by the variety, and p-adic Hodge theory has brought many results and applications on such objects, including a p-adic Riemann-Hilbert correspondence by Diao, Lan, Liu and Zhu. I will discuss constancy of a key invariant (generalized Hodge-Tate weights) of general p-adic local systems

Wed Dec 05

PDE Seminar

3:35pm - Vincent Hall 570
Barotropic instability of shear flows
Zhiwu Lin, Georgia Institute of Technology
Abstract:

We consider barotropic instability of shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we develop an approach by using the Hamiltonian structures of the linearized equation and an instability index formula to find the sharp stability conditions. We studied the flow with Sinus profile in details and found the sharp stability boundary in the whole parameter space, which corrected previous results in the fluid literature. The addition of the Coriolis force brings some fundamental changes to the stability of shear flows. Moreover, we also study the bifurcation of nontrivial traveling wave solutions and the linear inviscid damping near the shear flows. This is joint work with Hao Zhu and Jincheng Yang.

Tue Dec 04

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Dec 04

Math Physics Seminar

12:20pm - Vincent Hall 313
Revivals and Fractalization in the Linear Free Space Schrödinger Equation with Pseudoperiodic Boundary Conditions”
Natalie Sheils
Abstract:

We consider the one-dimensional linear free space Schrödinger equation on a bounded interval subject to homogeneous linear boundary conditions. We prove that, in the case of pseudoperiodic boundary conditions, the solution of the initial-boundary value problem exhibits the phenomenon of revival at specific ("rational'') times, meaning that it is a linear combination of a certain number of copies of the initial datum. Equivalently, the fundamental solution at these times is a finite linear combination of delta functions. At other ("irrational'') times, for suitably rough initial data, e.g., a step or more general piecewise constant function, the solution exhibits a continuous but fractal-like profile. Further, we express the solution for general homogeneous linear boundary conditions in terms of numerically computable eigenfunctions. (Joint work with Peter Olver and David Smith)

Tue Dec 04

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Dec 04

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Dec 03

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
A Chebotarev density theorem for families of fields with an application to bounding l-torsion in class groups
Caroline Turnage-Butterbaugh
Mon Dec 03

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Interfaces with singularities: understanding phase transitions in nematic liquid crystals
Dmitry Golovaty, Department of Mathematics, University of Akron
Abstract:

A nematic liquid crystal is essentially a liquid that exhibits some orientational order. The liquid crystalline state is typically observed in materials composed of highly asymmetric molecules for temperatures in the intermediate range when the material is neither a classical liquid nor a solid. In this talk we will be interested in describing a phase transition between the nematic and the isotopic state when the nematic order melts and the liquid crystal turns into a regular isotopic fluid. The experimental observations of this process indicate that the transition proceeds via evolution of interfaces separating different phases where the interfaces are generally not smooth. Our goal in this talk is to explain presence of these phase boundary singularities from a mathematical point of view .

The nematic-to-isotopic phase transition can be described within the so called Landau-de Genes variational theory for a tensor-valued order parameter. Because this theory is rather complex, in order to develop an initial understanding of transitions between the ordered and disordered states, we propose a simpler toy model based on the modified Ginzburg-Landau-type energy defined over vector fields on the plane. The corresponding variational model consists of anisotropic gradient terms and a potential that vanishes on two disconnected sets. While this model may not quantitatively describe the nematic state, the topology of the simplified target set retains the crucial features of the full problem. The principal observation from the study of the simplified model is that the phase boundary singularities can be explained by large disparity between the elastic constants that specify the gradient contribution to the energy. In the talk we will present a combination of rigorous analysis and numerics that leads to this conclusion.

Mon Dec 03

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Dec 03

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Nov 30

MCFAM Seminar

5:30pm - Vincent Hall 16
The Effect of the Risk Corridors Program on Marketplace Premiums and Participation
Pinar Karaca Mandic, MILI Director/Carlson Finance Professor
Abstract:

We investigate the effect of the Risk Corridors (RC) program
on premiums and insurer participation in the Affordable Care Act
(ACA)’s Health Insurance Marketplaces. The RC program, which was
defunded ahead of coverage year 2016, and ended in 2017, is a risk
sharing mechanism: it makes payments to insurers whose costs are high
relative to their revenue, and collects payments from insurers whose
costs are relatively low. We show theoretically that the RC program
creates strong incentives to lower premiums for some insurers.
Empirically, we find that insurers who claimed RC payments in 2015,
before defunding, had greater premium increases in 2017, after the
program ended. Insurance markets in which more insurers made RC claims
experienced larger premium increases after the program ended,
reflecting equilibrium effects. We do not find robust evidence that
insurers with larger RC claims in 2015 were less likely to participate
in the ACA Marketplaces in 2016 and 2017. Overall we find that the end
of the RC program significantly contributed to premium growth.

Fri Nov 30

Combinatorics Seminar

3:35pm - Vincent Hall 570
Grassmann Pentagram Maps and Non-commutative Integrable Systems
Nicholas Ovenhouse, Michigan State University
Abstract:

The pentagram map is a discrete dynamical system on the space of plane polygons. Gekhtman, Shapiro, Tabachnikov, and Vainshtein used the combinatorics and Poisson geometry associated to certain networks/quivers on surfaces to prove that this map is integrable. Recently, Mari-Beffa and Felipe introduced a version of the pentagram map on Grassmannians, and found a Lax representation. I will generalize the techniques of Gekhtman et. al. to the Grassmann case, and show this gives a "formal" integrable system in a non-commutative algebra.

Fri Nov 30

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Nov 30

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Nov 30

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Nov 30

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
The definition of Deligne's category Rep(S_t)
Cecily Santiago, University of Minnesota
Abstract:

Following section 2.2 of the paper, On blocks of Deligne's category Rep(S_t), by Comes and Ostrik, we give the definition of this category and explore some of its first properties.

Fri Nov 30

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Recap of MinneMUDAC: Challenges and Improvements
-, -
Abstract:

Graduate-level participants of 2018 MinneMUDAC data challenge will give an updated version of their original presentation, supplemented with suggestions for potential improvements to answering the challenge question, which was predicting the voter turnout for the 2018 midterm elections in Minnesota. After the talks, all participants will break into discussions regarding the presentations and the questions that arise from them.

Speakers: Several teams that competed in MinneMUDAC

Fri Nov 30

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Nov 30

Probability Seminar

8:30am -
CANCELLED

Thu Nov 29

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Nov 29

Colloquium

3:35pm - Vincent Hall 16
Interpolative decomposition and its applications
Lexing Ying, Stanford, Ordway Visitor
Abstract:

Interpolative decomposition is a simple and yet powerful tool for approximating low-rank matrices. After discussing the theory and algorithm, I will present a few new applications of interpolative decomposition in numerical partial differential equations, quantum chemistry, and machine learning.

Thu Nov 29

IMA Data Science Lab Seminar

3:35pm - Vincent 16
Interpolative Decomposition and its Applications (Math Dept Colloquium Lecture)
Lexing Ying, Stanford University
Abstract:

Interpolative decomposition is a simple and yet powerful tool for approximating low-rank matrices. After discussing the theory and algorithm, I will present a few new applications of interpolative decomposition in numerical partial differential equations, quantum chemistry, and machine learning.

Thu Nov 29

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Nov 29

Commutative Algebra Seminar

1:25pm - Ford Hall 170
On invariant theory for "coincidental" reflection groups
Victor Reiner, University of Minnesota
Abstract:

(joint work with A. Shepler and E. Sommers)
Complex reflection groups W are the finite subgroups of GL_n(C) with the following property: when they act on polynomials in n variables, their invariant ring is again a polynomial algebra. It is also known by
a result of Eagon and Hochster that, for any of their W-representations U, the U-isotypic polynomials form a _free_ module over the W-invariant subalgebra. In a few cases, we know an explicit basis for these U-isotypic polynomials. This talk will discuss a class of complex reflection groups W, sometimes called the "coincidental types", where conjecturally we know explicit bases for the U-isotypic component when U is any tensor product of the exterior powers of the reflection representation and its dual. This conjecture would explain pleasant product formulas for combinatorial objects, such as face numbers for finite type cluster complexes.

Thu Nov 29

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Nov 29

Student Number Theory Seminar

12:20pm - Vincent Hall 313
The Weil Conjectures: 0 to 100
Liam Keenan, University of Minnesota
Abstract:

The Weil conjectures are perhaps one of the most stunning achievements in arithmetic geometry in the 20th century. In this talk, I plan to introduce the necessary algebro-geometric language, state the conjectures, discuss the some of the tools used to prove them, and draw connections to analytic number theory.

Thu Nov 29

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Thu Nov 29

Colloquium

10:00am - Vincent Hall 570
The role of Energy in Regularity
Max Engelstein, MIT
Abstract:

The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy.

However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field.

We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur

Wed Nov 28

PDE Seminar

3:30pm - Vincent Hall 570
An Epiperimetric Approach to Isolated Singularities
Max Engelstein, MIT
Abstract:

The presence of singular points (i.e. points around which the object in question does not look flat at any scale) is inevitable in most minimization problems. One fundamental question is whether minimizers have a unique tangent object at singular points i.e., is the minimizer increasingly well approximated by some other minimizing object as we “zoom in” at a singular point. This question has been investigated with varying degrees of success in the settings of minimal surfaces, harmonic maps and obstacle problems amongst others.

In this talk, we will give the first uniqueness of blowups result for minimizers of the Alt-Caffarelli functional. In particular, we prove that the tangent object is unique at isolated singular points in the free boundary. Our main tool is a new approach to proving (log-)epiperimetric inequalities at isolated singularities. This epiperimetric inequality differs from previous ones in that it holds without any additional assumptions on the symmetries of the tangent object.

If we have time, we will also discuss how this method allows us to recover some uniqueness of blow-ups results in the minimal surfaces setting, particularly those of Allard-Almgren (’81) and Leon Simon (’83). This is joint work with Luca Spolaor (MIT) and Bozhidar Velichkov (U. Grenoble Alpes).

Wed Nov 28

IMA Data Science Lab Seminar

1:25pm - Lind 305
Convex Relaxation Approaches for Strictly Correlated Density Functional Theory
Lexing Ying, Stanford University
Abstract:

In this talk, we introduce methods from convex optimization to solve the multi-marginal transport type problems arise in the context of density functional theory. Convex relaxations are used to provide outer approximation to the set of N-representable 2-marginals and 3-marginals, which in turn provide lower bounds to the energy. We further propose rounding schemes to obtain upper bound to the energy.

Tue Nov 27

Colloquium

3:35pm - Vincent Hall 16
Surface bundles, monodromy, and arithmetic groups
Bena Tshishiku, Harvard University
Abstract:

Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to "compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter.

Tue Nov 27

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar - Eddie Nijholt - Cancelled
Eddie Nijholt, UIUC
Abstract:

Network dynamical systems play an important role in many fields of science; whenever there are agents whose time evolution is linked through some interaction structure, we may view the system as a network and model it accordingly. However, despite their prevalence, network dynamical systems are in general not well understood. One can identify two reasons for this. First of all, many coordinate changes and other transformations from well-known dynamical systems techniques do not respect the underlying network structure. Second of all, despite this somewhat `ethereal' character, systems with a network structure often display behavior that is highly anomalous for general dynamical systems. Examples of this include very unusual bifurcation scenarios and high spectral degeneracies. As a possible explanation of this, it can be shown that a large class of network ODEs admit hidden symmetry, which may be discovered through the so-called fundamental network construction. In most cases, this underlying symmetry does not come from a group though, but rather from a more general algebraic structure such as a monoid or category. I will show how the fundamental network allows one to adapt techniques from dynamical systems theory to a network setting, and how some of the more unusual properties of networks may be explained. In doing so, I will mostly focus on spectral properties of linear network maps.

Tue Nov 27

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Nov 27

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Nov 27

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Nov 26

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Cuspforms with Compact Support [sic]
Paul Garrett, University of Minnesota
Mon Nov 26

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Nov 26

Special Events and Seminars

3:35pm - Vincent Hall 207
Inverse transport theory and related applications
Ru-Yu Lai, University of Minnesota
Abstract:

The inverse transport problem consists of reconstructing the optical properties of a medium from boundary measurements. It finds applications in a variety of fields. In particular, radiative transfer equation (a linear transport equation) models the photon propagation in a medium in optical tomography. In this talk I will address results on the determination of these optical parameters. Moreover, the connection between the inverse transport problem and the Calderon problem will also be presented.

Mon Nov 26

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Cohomology of arithmetic groups and characteristic classes of manifold bundles
Bena Tshishiku, Harvard University
Abstract:

A basic problem in the study of fiber bundles is to compute the ring H*(BDiff(M)) of characteristic classes of bundles with fiber a smooth manifold M. When M is a surface, this problem has ties to algebraic topology, geometric group theory, and algebraic geometry. We have a good understanding of the cohomology in the "stable range", but this accounts for a small percentage of the total cohomology, and little is known beyond that. In this talk I describe some new characteristic classes (in the case dim M >>0) that come from the unstable cohomology of arithmetic groups.

Mon Nov 26

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Nov 26

IMA Data Science Lab Seminar

1:25pm - Lind 305
Solving PDEs with Deep Learning
Lexing Ying, Stanford University
Abstract:

In this talk, I will discuss some recent work on using deep neutral networks in solving high dimensional PDE problems. Examples include molecular dynamics, density functional theory, and inverse scattering problems. In each case, we propose novel neural network architectures based on the physical properties and sparse structures of the problem under investigation.

Mon Nov 26

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Nov 23

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Nov 23

Combinatorics Seminar

3:35pm - Vincent Hall 570
Combinatorics Seminar

Fri Nov 23

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Nov 23

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Nov 23

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Nov 23

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Algebraic Representation Theory

Fri Nov 23

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Nov 23

Probability Seminar

8:30am -
CANCELLED

Thu Nov 22

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Nov 22

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Nov 22

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Nov 22

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Nov 22

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Nov 22

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory
TBA
Thu Nov 22

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Nov 21

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Nov 20

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Nov 20

Math Physics Seminar

12:20pm - Vincent Hall 313
Application of Invariant Signatures: Solving Jigsaw Puzzles
Rob Thompson
Abstract:

TBA

Tue Nov 20

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Nov 20

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Nov 19

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Semigroups and automorphic forms
Amy DeCelles, University of St. Thomas
Mon Nov 19

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Divide and conquer algorithms and software for large Hermitian eigenvalue problems
Yousef Saad, Department of Computer Science and Engineering, University of Minnesota
Abstract:

The solution of large symmetric real (or Hermitian complex) eigenvalue
problems is central to applications ranging from electronic structure
calculations to the study of vibrations in mechanical systems. A few
of these applications require the computation of a large number of
eigenvalues and associated eigenvectors. For example, when dealing
with excited states in quantum mechanics, it is not uncommon to seek a
few tens of thousands of eigenvalues of matrices of sizes in the tens
of millions. In such situations it is imperative to resort to
`spectrum slicing' strategies, i.e., strategies that extract slices of
the spectrum independently. The presentation will discuss a few of
these techniques that are based on a combination of filtering
(polynomial, rational) and standard projection methods (Lanczos,
subspace iteration). The talk will also discuss our recently released
code named EVSL (for eigenvalues slicing library) that implements
these ideas.

Mon Nov 19

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: The spectrum of units of a height 2 theory
Jeremy Hahn, Harvard University
Abstract:

The space BSU admits two infinite loop space structures, one arising from addition of vector bundles and the other from tensor product. A surprising fact, due to Adams and Priddy, is that these two infinite loop spaces become equivalent after p-completion. I will explain how the Adams-Priddy theorem allows for an identification of sl_1(ku_p), the spectrum of units of p-complete complex K-theory. I will then describe work, joint with Andrew Senger, that attempts to similarly understand the spectrum of units of the 2-completion of tmf_1(3).

Mon Nov 19

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Nov 19

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lipschitz Regularized Deep Neural Networks Converge and are Robust to Adversarial Perturbations
Adam Oberman, McGill University
Abstract:

Deep Neural Networks perform well in practice, but unlike traditional Machine Learning methods, they lack performance guarantees. This limits the use of the technology in real world and real time applications. The first step towards these guarantees is a proof of generalization. We will prove that Lipschitz regularized DNNs converge, and provide a rate of convergence, a stronger result which implies generalization. The regularization is related to the classical Lipschitz extension problem, and to inverse problems in Image Processing. It can be implemented in practice, and leads to robust networks which are more resistant to adversarial examples.

Joint work with Jeff Calder, available at https://arxiv.org/abs/1808.09540

Adam Oberman in a professor at McGill University. He studied at University of Toronto (Bachelor’s) and University of Chicago (PhD) before a postdoc at University of Texas, Austin, and a faculty position at Simon Fraser University. His research is on numerical methods for Partial Differential Equations, and more recently on optimization and Machine Learning.

Mon Nov 19

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Nov 16

MCFAM Seminar

5:30pm - Vincent Hall 16
No MCFAM Seminar

Fri Nov 16

Combinatorics Seminar

3:35pm - Vincent Hall 570
Cyclic Sieving, Necklaces, and Bracelets
Eric Stucky, University of Minnesota
Abstract:

One of the many interpretations of Catalan numbers is that Cn counts necklaces with n white beads and n+1 black beads. Motivated by this, we generalize the Catalan numbers and their q-analogues to many other necklaces. In this talk, we will discuss two surprising properties of these generalizations. First, they exhibit a q=-1 phenomenon with respect to necklace reflection, which can be extended to a cyclic sieving phenomenon for more exotic symmetries. Second, they conjecturally satisfy a "parity-unimodality" property, which in classical cases is a combinatorial shadow of a certain sl2 representation.

Fri Nov 16

Probability Seminar

2:30pm - Vincent Hall 209
Macroscopic fluctuations through Schur generating functions
Vadim Gorin, MIT
Abstract:

I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.

Fri Nov 16

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Nov 16

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Nov 16

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Advanced Dynamics Systems Analysis and Synthesis for Future Storage Challenges
Raye Sosseh, Seagate Technology
Abstract:

Seagate is the global leader in data storage solutions, developing amazing products that enable people and businesses around the world to create, share and preserve their most critical memories and business data. Over the years the amount of information stored has grown from megabytes all the way to geopbytes, confirming the need to successfully store and access huge amounts of data. As demand for storage technology grows the need for greater efficiency and more advanced capabilities continues to evolve. Today data storage is more than just archiving; it’s about providing ways to analyze information, understand patterns and behavior, to re-live experiences and memories. It’s about harnessing stored information for growth and innovation. Seagate is building on its heritage of storage leadership to solve the challenge of getting more out of the living information that’s produced everyday. What began with one storage innovation has morphed into many systems and solutions becoming faster, more reliable and expansive. These considerations will be explored in this lecture on the application of Advanced Dynamics System Analysis & Synthesis to provide Solutions for future Storage Challenges.

Bio
Dr. Raye A. Sosseh is a managing Principal engineer and leads the Advanced Dynamics Group in Seagate’s Advanced Product Development department. His background is in dynamics and controls of embedded systems with particular applications to Hard Disk Drives. Dr. Sosseh holds a Ph.D. in Mechanical Engineering and a Masters in Electrical Engineering from the Georgia Institute of Technology. He joined Seagate in 2001 and has contributed to the staging and development of numerous products in Seagate’s Mission Critical and Cloud solutions swimlanes. Dr. Sosseh has over 10 patents assigned and pending patents. Raye and his family enjoy the lakes and restaurants in the Minneapolis area.

Fri Nov 16

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Partition algebras and their action on tensor space - continuation
Weiyan Chen, University of Minnesota
Abstract:

We continue with section 2.1 of the paper, On blocks of Deligne’s category Rep(S_t), by Comes and Ostrik. The longer term goal is to describe Deligne's category. In section 2.1 the partition algebras are introduced. They arose in work of Martin in a context of statistical mechanics, and were later shown by Jones to be in Schur-Weyl duality with the group algebras of symmetric groups. The exposition is introductory.

Fri Nov 16

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Nov 16

Probability Seminar

8:30am -
CANCELLED

Thu Nov 15

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Nov 15

Colloquium

3:35pm - Vincent Hall 16
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems
Luca Spolaor, MIT
Abstract:

In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents. Finally I will describe some future applications of this method both in regularity theory and in other settings.

Thu Nov 15

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Nov 15

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Nov 15

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Nov 15

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Physics of the Riemann-zeta function II
Adrienne Sands, University of Minnesota
Abstract:

We continue to discuss how the Riemann-zeta function plays a role in different areas of physics, from condensed matter theory to quantum mechanics

Thu Nov 15

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Nov 14

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Nov 13

Dynamical Systems

2:30pm - Ford Hall 130
Zigzagging of stripe patterns in growing domains
Montie Avery, University of Minnesota
Abstract:

The Swift-Hohenberg equation is a PDE which models formation of stripe and spot patterns in many physical settings. I will study a modification in which pattern formation is triggered by a propagating interface, and discuss the bifurcation structure based on the interface speed. I will focus on analytical results in reduced equations, in particular a singular perturbation problem for a system of ODEs arising from a traveling wave ansatz. I will also present numerical results in the Swift-Hohenberg and reduced equations which organize the bifurcation structure into a two-dimensional surface we call the moduli space. This is joint work with Ryah Goh, Oscar Goodloe, Alex Milewski, and Arnd Scheel.

Tue Nov 13

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Nov 13

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Nov 13

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Nov 12

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Semigroups and uniqueness of solutions of differential equations in automorphic forms
Amy DeCelles, University of St. Thomas
Mon Nov 12

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Nov 12

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Localizing the E_2 page of the Adams spectral sequence
Eva Belmont, Northwestern
Abstract:

The Adams spectral sequence is one of the central tools for calculating the stable homotopy groups of spheres, one of the motivating problems in stable homotopy theory. In this talk, I will discuss an approach for computing the Adams E_2 page for the sphere at p = 3 in an infinite region, by computing its localization by the non-nilpotent element b_{10}. This approach relies on computing an analogue of the Adams spectral sequence in Palmieri's stable category of comodules, which can be regarded as an algebraic analogue of stable homotopy theory. This computation fits in the framework of chromatic homotopy theory in the stable category of comodules.

Mon Nov 12

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Nov 12

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Rebecca Willett, University of Chicago
Mon Nov 12

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Nov 09

MCFAM Seminar

5:30pm - Vincent Hall 16
Macroecomic Analysis and Insight - Steepness of the Yield Curve As of September 2018
Ujae Kang, UnitedHealth Group
Abstract:

Ujae Kang will present on the Federal Reserve over the years and its influence on the yield curve. Then, he will cover what to expect from the Federal Reserve in the coming years.

Bio: Ujae Kang is Director of Enterprise Risk Management at UnitedHealth Group. He is an Associate of the Society of Actuaries and has an Master of Financial Mathematics from the University of Minnesota's School of Mathematics. He also provides economic research and insights to UnitedHealth Group's Asset Liability Management Committee as well as to other investors. For more information on Ujae go to linkedin.com/in/ujaeaugustinekang

Fri Nov 09

Lie Theory Seminar

3:35pm - Vincent Hall 313
Motivic cohomology of Shimura varieties and level raising
Rong Zhou, Institute for Advanced Study
Abstract:

For a finite type scheme over a field, its motivic cohomology groups were defined by Voevodsky and are an important algebraic invariant. However, the properties of these groups are not well understood, and it is a difficult problem to exhibit explicit classes in motivic cohomology. We will construct such classes in the special fiber of Hilbert modular varieties by using the geometry of the supersingular locus. The construction is related to a geometric realization of the Jacquet-Langlands correspondence, as well as to level raising for Hilbert modular forms. A key ingredient is a form of Ihara's Lemma for compact quaternionic Shimura surfaces.

Fri Nov 09

Combinatorics Seminar

3:35pm - Vincent Hall 570
Combinatorics Seminar

Fri Nov 09

Probability Seminar

2:30pm - Vincent Hall 209
Low-temperature localization of directed polymers
Erik Bates, Stanford University
Abstract:

On the d-dimensional integer lattice, directed polymers are paths of a random walk that have been reweighted according to a random environment that refreshes at each time step. The qualitative behavior of the system is governed by a temperature parameter; if this parameter is small, the environment has little effect, meaning all possible paths are close to equally likely. If the parameter is made large, however, the system undergoes a phase transition at which the path’s endpoint starts to localize. To understand the extent of this localization, we exploit the underlying Markov structure of the quenched endpoint distribution. The key difficulty is that the space of measures is too large for one to expect convergence results. By adapting methods appearing in the work of Mukherjee and Varadhan, we develop a compactification theory to resolve the issue. In this talk, we will discuss this intriguing abstraction, as well as new concrete theorems it allows us to prove for directed polymers constructed from SRW or any other walk. (joint work with Sourav Chatterjee)

Fri Nov 09

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Nov 09

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Partition algebras and their action on tensor space
Weiyan Chen, University of Minnesota
Abstract:

We follow section 2.1 of the paper, On blocks of Deligne’s category Rep(S_t), by Comes and Ostrik. The longer term goal is to describe Deligne's category. In section 2.1 the partition algebras are introduced. They arose in work of Martin in a context of statistical mechanics, and were later shown by Jones to be in Schur-Weyl duality with the group algebras of symmetric groups. We introduce this theory.

Fri Nov 09

MathCEP Seminar

10:10am - Vincent Hall 364
The Distributed Open Education Network (Doenet) and your dream educational technology
Duane Nykamp, University of Minnesota
Abstract:

A group of us are developing educational technology as part of the
Distributed Open Education Network (Doenet). We'll describe our vision for
an open educational technology ecosystem and highlight some solutions that
we are currently implementing. Then, we'll open the floor to discuss your
dreams for technological innovations that will enable you to better help
students learn.

Fri Nov 09

Probability Seminar

8:30am -
CANCELLED

Thu Nov 08

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Nov 08

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Nov 08

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Nov 08

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Nov 08

Special Events and Seminars

1:25pm - Vincent Hall 313
Irreducible components of affine Deligne--Lusztig varieties and orbital integrals
Rong Zhou, Institute for Advanced Study
Abstract:

Affine Deligne--Lusztig varieties (ADLV) naturally arise in the study of Shimura varieties and Rapoport--Zink spaces. Their irreducible components provide an interesting class of cycles on the special fiber of Shimura varieties. We prove a conjecture of Miaofen Chen and Xinwen Zhu, which relates the number of irreducible components of ADLV's to a certain weight multiplicity for a representation of the Langlands dual group. Our approach is to count the number of F_q points as q goes to infinity; this boils down to computing a certain twisted orbital integral. After applying techniques from local harmonic analysis, we reduce to computing a particular coefficient of the matrix for the inverse Satake transform. Using an interpretation of this coefficient in terms of a q-analogue of Kostant's partition function, we are able to reduce the problem to the previously known special cases of the conjecture proved by Hamacher--Viehmann and Nie. This is joint work with Yihang Zhu.

Thu Nov 08

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Nov 08

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Physics of the Riemann-zeta function
Adrienne Sands, University of Minnesota
Abstract:

I will give an overview of how the Riemann-zeta function plays a role in different areas of physics, from condensed matter theory to quantum mechanics.

Thu Nov 08

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Nov 07

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Nov 06

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Nov 06

Math Physics Seminar

12:20pm - Vincent Hall 313
Contact Point Forces Acting on a Ball, Rolling on a Horizontal Plane and Actuated by Internal Point Masses
Stuart Rogers
Abstract:

This talk derives the contact point forces, namely the normal force and static friction, that act on a ball rolling without slipping on a horizontal plane. It is assumed that the ball is actuated by n point masses, which are free to move inside the ball. The dynamics of a disk and ball actuated by internal point masses are simulated numerically and the minimum coefficients of static friction required to prevent slippage are computed

Tue Nov 06

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Nov 06

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Nov 05

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Semigroups and uniqueness argument for solutions of differential equations in automorphic forms
Amy DeCelles, St. Thomas University
Mon Nov 05

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Nov 05

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: An isovariant Elmendorf's theorem
Sarah Yeakel, University of Maryland
Abstract:

An isovariant map is an equivariant map which preserves isotropy groups. Isovariant maps show up in equivariant surgery theory and in other settings when homotopy theory is applied to geometry. For a finite group G, we consider the category of G-spaces with morphisms given by isovariant maps. We will discuss a cofibrantly generated model structure on this category, along with isovariant versions of Elmendorf's theorem and a theorem of Klein and Williams about homotoping a map off a submanifold.

Mon Nov 05

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Nov 05

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Matthew Jacobs, University of California, Los Angeles
Mon Nov 05

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Nov 02

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Nov 02

Combinatorics Seminar

3:35pm - Vincent Hall 570
Enumerating factorizations in GL_n(F_q)
Graham Gordon, University of Washington
Abstract:

Recently, many people, including Huang, Lewis, Morales, Reiner, and Stanton, have enumerated certain factorizations in GLnFq. Much of their results are essentially q-analogues of factorization enumerations coming from Sn in the q-->1 sense. I think this work constitutes a few significant puzzle pieces in an enormous, really difficult puzzle. I will talk about another piece (or fraction of a piece) of this puzzle that I can contribute, which is an enumeration of factorizations of the identity into a product of regular-elliptic elements. Ideally, this is q-analogous to a result of Stanley from the 1981, which enumerates factorizations of the identity into a product of n-cycles. Time permitting, I will talk about my approach and/or the geometry that corresponds to this work.

Fri Nov 02

Probability Seminar

2:30pm - Vincent Hall 209
Dynamical freezing in a spin glass system with logarithmic correlations
Julian Gold, Northwestern University
Abstract:

We consider a continuous time random walk on the two-dimensional discrete torus, whose motion is governed by the discrete Gaussian free field on the corresponding box acting as a potential. More precisely, at any vertex the walk waits an exponentially distributed time with mean given by the exponential of the field and then jumps to one of its neighbors, chosen uniformly at random. We prove that throughout the low-temperature regime and at in-equilibrium timescales, the process admits a scaling limit as a spatial K-process driven by a random trapping landscape, which is explicitly related to the limiting extremal process of the field. Alternatively, the limiting process is a supercritical Liouville Brownian motion with respect to the continuum Gaussian free field on the box. Joint work with Aser Cortines (University of Zurich) and Oren Louidor (Technion).

Fri Nov 02

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Nov 02

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Nov 02

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 409
Lecture
Joao Montero, Medtronic
Fri Nov 02

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Topology and combinatorics of the complex of injective words - continuation
Victor Reiner, University of Minnesota
Abstract:

I will continue the elementary treatment of properties of this complex, indicating situations where it arises, including a context considered by myself and Peter Webb.

Fri Nov 02

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Nov 02

Probability Seminar

9:30am -
CANCELLED

Thu Nov 01

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
My favorite facts about $\mathrm{GL}_n \mathbb{F}_q$
Graham Gordon, University of Washington
Abstract:

Have you ever heard that the symmetric group $\mathfrak{S}_n$ is “equal” to the finite general linear group $\mathrm{GL}_n \mathbb{F}_q$ in the limit $q \to 1$? This “equality” casts many mathematical shadows. I will discuss some of my favorites, which involve the (complex) characters of the two groups. I will include a primer on $\mathrm{GL}_n \mathbb{F}_q$ characters, and I will assume some foundational representation theory facts. Next, I will turn the tides and consider the limit $q \to \infty$. Mysteriously, some relationship between $\mathrm{GL}_n \mathbb{F}_q$ and $\mathfrak{S}_n$ as $q \to \infty$ is also casting shadows. Time permitting, I will discuss how character theory can be used to enumerate factorizations in order to segue into tomorrow’s seminar.

Thu Nov 01

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Nov 01

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Nov 01

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Nov 01

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Nov 01

Student Number Theory Seminar

12:20pm - Vincent Hall 313
The Stone-von Neumann Theorem
Joe Dickinson, University of Minnesota
Abstract:

I plan to talk about some number theoretic implications of the Stone-von Neumann theorem. The Stone-von Neumann theorem is a uniqueness theorem about commutation relations between position and momentum operators. I will give a historical discussion about number theory results implied by Stone-von Neumann.

Thu Nov 01

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Oct 31

PDE Seminar

3:30pm - Vincent Hall 570
On the global regularity for Einstein-Klein-Gordon coupled system
Alexandru Ionescu, Princeton University
Abstract:

I will discuss the Einstein-Klein-Gordon coupled system of General
Relativity, and the problem of global stability of the Minkowski space-time.
This is joint work with Benoit Pausader.

Tue Oct 30

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Oct 30

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Oct 30

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Oct 30

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Oct 29

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Semigroups and uniqueness arguments for solutions of differential equations in automorphic forms
Amy DeCelles, St. Thomas University
Mon Oct 29

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Preconditioning systems of PDEs: from robust estimates to fast iterations, with applications to simulations of the brain
Ragnar Winther, University of Oslo
Abstract:

We will present a set up for simulations of the so-called glymphatic system, which is believed to
be an important mechanism for clearance of waste from the brain. Accumulation of waste can be coupled to
brain shrinkage and conditions like Alzheimers disease. An approach to design mathematical models for the
glymphatic system is to consider the brain as a poroelastic material, with complex geometry, bathed in water, and where various parameters of the model will vary over extreme ranges. A challenge in discretizing such systems in to design methods which behave well with respect variations of the parameters. In particular, we will explain how parameter robust stability estimates for the PDE systems can be used as a key tool to design effective algorithms for the corresponding discrete systems.

Mon Oct 29

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Symmetric monoidal categories and \Gamma-categories
Amit Sharma, Kent State University
Abstract:

A \Gamma-category is a functor from the category of finite based sets and basepoint preserving functions \Gamma^op to Cat. We construct a model category structure on the category of \Gamma-categories, which is symmetric monoidal closed to the Day convolution product. The fibrant objects in this model category structure are those
\Gamma-categories which are often called special \Gamma-categories. The main objective of this research is to establish a Quillen equivalence between a natural model category structure on the category of (small) permutative categories and strict symmetric monoidal functors Perm and our model category structure on \GammaCat. The weak equivalences of the natural model category structure are equivalences of underlying categories. In the paper [1], Segal defined a functor from the category of (small) symmetric monoidal categories into \GammaCat which can be described as a nerve functor for symmetric monoidal categories. The right adjoint \bar{K} of our Quillen equivalence is a thickening of Segal's nerve functor. We construct a permutative category L called Leinster's category, having the universal property that each \Gamma-category extends uniquely to a symmetric monoidal functor along an inclusion functor \Gamma^op —> L. The left adjoint L of our Quillen equivalence is a composite functor composed of the symmetric monoidal extension functor indicated above followed by a homtopy colimit functor. In the paper [2], Mandell had shown that Segal's nerve functor (followed by the ordinary nerve functor) induces an equivalence between a homotopy category of Perm, obtained by inverting those strict symmetric monoidal functors which induce a weak homotopy equivalence of simplicial sets upon applying the nerve functor, and a homotopy category of \Gamma-spaces \GammaS obtained by inverting pre-stable equivalences which are those maps of \Gamma-categories which induce a degreewise weak homotopy equivalence of simplicial sets upon applying an E_\infty-completion functor. The objective of Mandell's work is to understand the relation between connective spectra and \Gamma-spaces obtained by applying the Segal's nerve functor to symmetric monoidal categories whereas our objective is to construct a model category of symmetric monoidal categories which is
symmetric monoidal closed.

References:
[1] G. Segal, Categories and cohomology theories, Topology 13 (1974) 293-312.
[2] M. A. Mandell, An Inverse K-theory functor, Doc. Math 15 (2010) 765-791.

Mon Oct 29

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Oct 29

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Pratik Chaudhari, University of California, Los Angeles
Mon Oct 29

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Oct 26

MCFAM Seminar

5:30pm - Vincent Hall 16
Dynamic Linear Models
Katy Micek, 3M Finance
Abstract:

Dynamic linear models (DLMs), a subset of state space models, describe the output of a dynamic system as a function of a non-observable state process affected by random errors. Because DLMs can be used either for traditional time series analysis tasks (making inferences on observed states or prediction future observations) or for feature generation in machine learning tasks, they are a very useful tool for any data scientist who works with time series data. As a data scientist on the Data Analytics team for 3M Finance, I work primarily with time series data from the general ledger. Our team both leads data science projects and assists in organizational development of internal capabilities around data science.
In this talk, I will first provide an overview of the Finance organization and describe the technical tasks our team addresses. Next, I will give an introduction on the mathematics of DLMs. Finally, I will conclude showing examples of how DLMs can be used on time series data in a Jupyter notebook demo.

Fri Oct 26

Algebraic Geometry

3:35pm - Vincent Hall 313
On rigid varieties with projective reduction
Shizhang Li, Columbia University
Abstract:

Bosch, Lütkebohmert and Raynaud laid down the foundation relating formal and rigid geometry. The type of questions they treat are mostly concerned with going from the rigid side to formal side. In the past, I considered the opposite type of question, namely to what extent properties on the formal side inform us about rigid geometry. More precisely, we will see what geometric consequences one can deduce under the assumption that the rigid space has a projective reduction. In this talk, I shall first say some background of rigid geometry and Raynaud's theory of formal models along with some examples. Then I will state the main theorem and a corollary. If time permitted, I will say something about the proof.

Fri Oct 26

Combinatorics Seminar

3:35pm - Vincent Hall 570
High acyclicity of p-subgroup complexes for the symmetric groups
Cihan Bahran, University of Minnesota
Abstract:

For any finite group G and a fixed prime p, the topology of the poset of nontrivial elementary abelian p-subgroups contains significant information about the representations of G in characteristic p. For the symmetric group, this poset and its homology remain rather mysterious. A reasonable conjecture is that as we consider larger symmetric groups, the associated posets should get topologically more connected. I will rephrase this conjecture as a representation stability phenomenon ala Church-Ellenberg-Farb, and provide evidence for it by exhibiting high acyclicity of certain subposets.t:

Fri Oct 26

Probability Seminar

2:30pm - Vincent Hall 209
Some Problems of Robust High-dimensional Statistics
Gilad Lerman, University of Minnesota
Abstract:

The talk will first review the problem of robust subspace recovery, which seeks an underlying low-dimensional subspace in a data set that is possibly corrupted with outliers. The emphasis will be on surveying existing theoretical guarantees and tradeoffs. New results for adversarial outliers will also be mentioned. Following this, other related problems will be discussed, along with new results for one of these problems.

Fri Oct 26

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Oct 26

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Oct 26

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
Topology and combinatorics of the complex of injective words
Victor Reiner, University of Minnesota
Abstract:

According to a result of Farmer, the homology of this complex vanishes except in the bottom and top dimensions. This property is a consequence of shellability of the complex. We will discuss these matters, used in a proof of Nakaoka's theorem on stability of the corestriction map in the group homology of the symmetric groups.

Fri Oct 26

MathCEP Seminar

10:10am - Vincent Hall 364
The Chicago Guide to Writing about Numbers Book Discussion
Journal Club
Abstract:

People who work well with numbers are often stymied by how to write about them. Those who don't often work with numbers have an even tougher time trying to put them into words. For instance, scientists and policy analysts learn to calculate and interpret numbers, but not how to explain them to a general audience. Students learn about gathering data and using statistical techniques, but not how to write about their results. And readers struggling to make sense of numerical information are often left confused by poor explanations. Jane Miller, an experienced research methods and statistics teacher, gives writers the assistance they need. The Chicago Guide to Writing about Numbers helps bridge the gap between good quantitative analysis and good expository writing. Field-tested with students and professionals alike, this book shows writers how to think about numbers during the writing process. By providing basic guidelines for successfully using numbers in prose, The Chicago Guide to Writing about Numbers will help writers of all kinds clearly and effectively tell a story with numbers as evidence.

Fri Oct 26

Probability Seminar

9:30am -
CANCELLED

Thu Oct 25

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Oct 25

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Oct 25

Algebraic Geometry

1:25pm - Vincent Hall 313
An example of liftings with different Hodge numbers
Shizhang Li, Columbia University
Abstract:

Does a smooth proper variety in positive characteristic know the Hodge numbers of its liftings? The answer is "of course not". However, it's not that easy to come up with a counter-example. In this talk, I will first introduce the background of this problem. Then I shall discuss some obvious constraints of constructing a counter-example. Lastly I will present such a counter-example and state a few questions of similar flavor for which I do not know an answer.

Thu Oct 25

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Oct 25

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Oct 25

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Oct 25

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Cryptographic Multilinear Maps from Elliptic Curves
Mahrud Sayrafi, University of Minnesota
Abstract:

We will begin with defining cryptographic multilinear maps, briefly discussing some of their applications, and referencing one such map from Boneh-Silverberg '03. After that, we will extend a problem involving isogenies of elliptic curves into an open problem of finding cryptographic invariant maps from Boneh, et al. '18.stract:

Thu Oct 25

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Oct 24

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Oct 23

Dynamical Systems

2:30pm - Ford Hall 130
Snaking in the Swift-Hohenberg Equation in Dimension 1+Epsilon
Jason Bramburger, Brown University
Abstract:

The Swift-Hohenberg equation is a widely studied partial differential equation which is known to support a variety of spatially localized structures. The one-dimensional equation exhibits spatially localized steady-state solutions which give way to a bifurcation structure known as snaking. That is, these solutions bounce between two different values of the bifurcation parameter while ascending in norm. The mechanism that drives snaking in one spatial dimension is now well-understood, but recent numerical investigations indicate that upon moving to two spatial dimensions, the related radially-symmetric spatially-localized solutions take on a significantly different snaking structure which consists of three major components. To understand this transition we apply a dimensional perturbation in an effort to use well-developed methods of perturbation theory and dynamical systems. In particular, we are able to identify key characteristics that lead to the segmentation of the snaking branch and therefore provide insight into how the bifurcation structure changes with the spatial dimension.

Tue Oct 23

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Oct 23

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Oct 23

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Oct 22

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Automorphic Hamiltonians
Adrienne Sands, University of Minnesota
Abstract:

We apply methods of quantum mechanics to construct self-adjoint, purely discrete pseudo-differential operators which characterize a nuclear Frechet Schwartz space of automorphic forms.

Mon Oct 22

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Oct 22

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Finitely generated sequences of linear subspace arrangements
Nir Gadish, University of Chicago
Abstract:

Hyperplane arrangements are a classical meeting point of topology, combinatorics and representation theory. Generalizing to arrangements of linear subspaces of arbitrary codimension, the theory becomes much more complicated. However, a crucial observation is that many natural sequences of arrangements seem to be defined using a finite amount of data.

In this talk I will describe a notion of 'finitely generation' for collections of arrangements, unifying the treatment of known examples. Such collections turn out to exhibit strong forms of stability, both in their combinatorics and in their cohomology representation. This structure makes the appearance of representation stability transparent and opens the door to generalizations.

Mon Oct 22

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Oct 22

IMA Data Science Lab Seminar

1:25pm - Lind 409
Large Sample Asymptotics of Graph-based Methods in Machine Learning: Mathematical Analysis and Implications
Nicolas Garcia-Trillos, University of Wisconsin, Madison
Abstract:

Many machine learning procedures aimed to extract information from data can be defined as precise mathematical objects that are constructed in terms of the data. It is often assumed that the data is “big” in complexity but also in quantity, and in this “large amount of data’’ setting, a basic mathematical concept that one can explore is that of closure of a given class of statistical procedures (i.e. what are the limiting procedures as the number of data points available goes to infinity.) In this talk, I will explore this notion in the context of graph-based methods. Examples of such methods include minimization of Cheeger cuts, spectral clustering, and graph-based bayesian semi-supervised learning, among others. I will introduce some of the mathematical ideas needed for the analysis, as well as show some of the implications of it: our results show statistical consistency of the methods, provide with quantitative information in the form of scaling of parameters and rates of convergence, imply qualitative properties at the discrete level, and suggest the use of appropriate algorithms.

Mon Oct 22

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Oct 19

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Oct 19

Lie Theory Seminar

4:30pm - Vincent Hall 313
On Several Classical Number Theory Problems
Tianxin Cai, Zhejiang University and University of Iowa
Fri Oct 19

Combinatorics Seminar

3:35pm - Vincent Hall 570
Optimal switching sequence for switched linear systems
Qie He, UMN
Abstract:

We study the following optimization problem over a dynamical system that consists of several linear subsystems: Given a finite set of n-by-n real matrices and an n-dimensional real vector, find a sequence of K matrices, each chosen from the given set of matrices, to maximize a convex function over the product of the K matrices and the given vector. This simple problem has many applications in operations research and control, yet a moderate-sized instance is challenging to solve to optimality for state-of-the-art optimization software. We propose a simple exact algorithm for this problem. The efficiency of our algorithm depends heavily on whether the given set of matrices has the oligo-vertex property, a concept we introduce for a finite set of matrices. The oligo-vertex property captures how the numbers of extreme points for a sequence of K convex polytopes related to the given matrices grow with respect to K. We derive several sufficient conditions for a set of matrices to have this property, and pose several open questions related to this property.

Fri Oct 19

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Oct 19

Differential Geometry and Symplectic Topology Seminar

2:30pm - Vincent Hall 6
The Smooth 4-dimensional Poincare Conjecture and Dehn surgery on links
Alex Zupan, University of Nebraska
Abstract:

The smooth version of the 4-dimensional Poincare Conjecture (S4PC) states that every homotopy 4-sphere is diffeomorphic to the standard 4-sphere. One way to attack the S4PC is to examine a restricted class of 4-manifolds. For example, Gabai's proof of Property R implies that every homotopy 4-sphere built with one 2-handle and one 3-handle is standard. In this talk, we consider homotopy 4-spheres X built with two 2-handles and two 3-handles, which are uniquely determined by the attaching link L for the 2-handles in the 3-sphere. We prove that if one of the components of L is the connected sum of a torus knot T(p,2) and its mirror (a generalized square knot), then X is diffeomorphic to the standard 4-sphere. This is joint work with Jeffrey Meier.

Fri Oct 19

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Oct 19

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
A theorem of Nakaoka on the homology of symmetric groups - continuation
Peter Webb, University of Minnesota
Abstract:

A theorem of Nakaoka states that the inclusion of symmetric groups induces an isomorphism of group homology provided that the degrees of the symmetric groups are large enough. This week I will continue with the proof of this, explaining the equivariant cohomology spectral sequence and the specific calculations that arise, trying to assume as little as I can.

Fri Oct 19

MathCEP Seminar

10:10am - Vincent Hall 364
MathCEP Seminar

Fri Oct 19

Probability Seminar

9:30am -
CANCELLED

Thu Oct 18

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Oct 18

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Oct 18

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Oct 18

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Computations in Local Rings using Macaulay2
Mahrud Sayrafi, University of Minnesota
Abstract:

Local rings are ubiquitous in commutative algebra and algebraic geometry. In this talk I will describe two avenues for computing in local rings with respect to prime ideals, first using the associated graded algebra and then using only Nakayama's lemma. Time permitting, I will demonstrate various examples and applications, such as computing the Hilbert-Samuel multiplicity, using Macaulay2.

Thu Oct 18

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Oct 18

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Elliptic functions and elliptic curves in the 19th century
Devadatta Hegde, University of Minnesota
Abstract:

We will give an account of the work on Weierstrass and Jacobi proving a result due to Abel on meromorphic functions on the torus. These are results about complex points of elliptic curves which suggest attributes for rational points. These examples were later greatly extended at the hands of several mathematicians and reached a high-point with the GAGA principle by Serre. It's also the first example of a Riemann-Roch type theorem which were greatly extended by Grothendieck, Atiyah and Singer. Only some familiarity with Cauchy's theorem in complex analysis is needed to understand the talk.

Thu Oct 18

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Oct 17

PDE Seminar

3:30pm - Vincent Hall 570
Continuum Limits of Semi-Supervised Learning on Graphs
Matthew Thorpe, University of Cambridge
Abstract:

Given a data set $\{x_i\}_{i=1}^n$ with labels $\{y_i\}_{i=1}^N$ on the first $N$ data points the goal of semi-supervised is to infer labels on the remaining $\{x_i\}_{i=N+1}^n$ data points. In this talk we use a random geometric graph model with connection radius $r(n)$. The framework is to consider objective functions which reward the regularity of the estimator function and impose or reward the agreement with the training data, more specifically we will consider discrete p-Laplacian and fractional Laplacian regularization.

The talk concerns the asymptotic behaviour in the limit where the number of unlabelled points increases while the number of training points remains fixed. The results are to uncover a delicate interplay between the regularizing nature of the functionals considered and the nonlocality inherent to the graph constructions. I will give almost optimal ranges on the scaling of $r(n)$ for asymptotic consistency to hold. Furthermore, I will setup the Bayesian interpretation of this problem.

This is joint work with Matt Dunlop (Caltech), Dejan Slepcev (CMU) and
Andrew Stuart (Caltech).

Mathew Thorpe is a Research Fellow at the Cantab Capital Institute for the Mathematics of Information, Department of Applied Mathematics and Theoretical Physics, University of Cambridge.

.

Tue Oct 16

Dynamical Systems

2:30pm - Ford Hall 130
Run-and-tumble clusters: blowing up the blowup
Arnd Scheel
Abstract:

Motivated by patterns in colonies of myxobacteria, I will show some results on clustering in run-and-tumble processes. We look at two populations of agents on the real line, propagating with speed 1 to the left or to the right, respectively. They tumble, that is, reverse direction, with a rate that depends on encounters with agents traveling in the opposite direction in a nonlinear fashion. I will show some phenomena and then explain how elementary dynamical systems methods can help understanding the formation of localized clusters in the population. The talk should be accessible to graduate students with basic knowledge in dynamical systems

Tue Oct 16

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Oct 16

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Oct 16

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Oct 15

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Automorphic Hamiltonians
Adrienne Sands, University of Minnesota
Abstract:

We apply methods in quantum mechanics to construct self-adjoint, purely discrete pseudo-differential operators which characterize a nuclear Fréchet Schwartz space of automorphic forms"

Mon Oct 15

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Modeling gas, fluid, and particle transport in the lung airway system: the curse of scales
Marcel Filoche, Ecole Polytechnique, Paris
Abstract:

The pulmonary airway system is a highly hierarchical tree-like 3D network in charge of transferring oxygen from the upper airways down to the alveolar region where the gas exchange occurs between air and blood. It is also the place of numerous particle and fluid transport processes. Given the complexity of the anatomy and of the physics involved, numerical simulation is a remarkable tool for investigating the properties of this organ seen as a "transport system", understanding its behavior and possible failures, and predicting the outcome of therapies. However, the range of scales represents here a huge challenge: from the meter scale of the entire organ size down to the micron scale of the mucus layer, about 5 to 6 orders of magnitude of length scale are crossed.

In this talk, we will present several examples of numerical models able to capture the various aspects of the lung airway system, from the simplest linear approach of gas transport to more advanced computational fluid dynamics simulation. We will show, in particular, how the range of scales involved and the difficulty to access the actual parameters in the patient imposes to use a hierarchy of models and a diversity of numerical techniques. We will explain how these models can be used either to reach a general understanding of the system or to design patient specific diagnosis and therapy.

Mon Oct 15

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Rigidity of warped cones and coarse geometry of expanders
Wouter van Limbeek, UIC
Abstract:

Finitely generated subgroups of compact Lie groups give rise to expander graphs via a warped cone construction. We study the dependence of the coarse geometry of such expander graphs on the original subgroup and establish a dynamical analogue of quasi-isometric rigidity theorems in geometric group theory: Namely, the coarse geometry of the warped cone determines the subgroup up to commensurability, unless the group has abelian factors. This is joint work with David Fisher and Thang Nguyen.

Mon Oct 15

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Oct 15

IMA Data Science Lab Seminar

1:25pm - Keller 3-180
Lecture
Raj Nadakuditi, University of Michigan
Mon Oct 15

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Oct 12

MCFAM Seminar

5:30pm - Vincent Hall 16
Interpreting Constraints in Mean Variance Optimization
Chris Bemis, Head of Quantitative Analysis and Research, Whitebox Advisors, UMN Math Dpt. Affiliated Faculty
Abstract:

We study the effect linear constraints have on risk in the context of mean variance optimization (MVO). Jagannathan and Ma (2003) establish an equivalence between certain constrained and unconstrained MVO problems via a modification of the covariance matrix. We extend their results to arbitrary linear constraints and provide alternative interpretations for the effect of constraints on both the input parameters to the problems at hand and why ex-post performance is improved in the constrained setting.

Fri Oct 12

Combinatorics Seminar

3:35pm - Vincent Hall 570
Basis shape loci and the positive Grassmannian
Cameron Marcott, University of Waterloo
Abstract:

We study the set of k-dimensional planes in Rn admitting a basis of vectors with prescribed supports. We describe conditions on the prescribed support shape for when this set of planes has the expected dimension in the Grassmannian, and for when this set of planes intersects the positive Grassmannian in its full dimension.

Fri Oct 12

Probability Seminar

2:30pm - Vincent Hall 209
Brascamp-Lieb inequalities for even functions
Liran Rotem, UMN
Abstract:

It was observed by Cordero-Erausquin, Fradelizi and Maurey that the classical Gaussian Poincare Inequality can be improved by a factor of 2 if we restrict our attention to even functions. They used this improved inequality to answer a geometric question asked by Banaszczyk about convexity of the Gaussian measure.

The Gaussian Poincare inequality is a special case of a more general variance inequality due to Brascamp and Lieb. In general, it is not clear how to improve this more general inequality in the even case. Again, this question turns out to be closely related to certain geometric problems. In this talk we will prove a sharp even Brascamp-Lieb inequality for measures of the form exp(-|x|^p). To do so we will also present a new weighted Poincare inequality which holds for ODD functions.

Based on joint work with Dario Cordero-Erausquin.

Fri Oct 12

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Oct 12

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Oct 12

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Lecture
Jennifer Schumacher, 3M
Fri Oct 12

Algebraic Representation Theory Seminar

1:25pm - Vincent Hall 206
A theorem of Nakaoka on the homology of symmetric groups
Peter Webb, University of Minnesota
Abstract:

A theorem of Nakaoka states that the inclusion of symmetric groups induces an inclusion of group homology provided that the degrees of the symmetric groups are large enough. A proof of this statement in homological stability can be given using the equivariant cohomology of the complex of injective words. I will start describing the machinery needed to give this proof, trying to assume as little as I can.

Fri Oct 12

MathCEP Seminar

10:10am - Vincent Hall 364
Adventures with experiential and active learning
Rina Ashkenazi, University of Minnesota
Abstract:

I will share my attempts to include real world experiences and active learning in the actuarial mathematics curriculum. Those include a design of a project based course (MATH 4067W) that is instructed in collaboration with practicing actuaries, as well as the inclusion of small projects and in-class presentations in other, existing courses.

Fri Oct 12

Probability Seminar

9:30am -
CANCELLED

Thu Oct 11

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Oct 11

Colloquium

3:35pm - Vincent Hall 16
Propagation of bistable fronts through a perforated wall
Hiroshi Matano, Meiji University, Tokyo, Ordway Visitor
Abstract:

We consider a bistable reaction-diffusion equation on ${\bf R}^N$ in the presence of an obstacle $K$, which is a wall of infinite span with periodically arrayed holes. More precisely, $K$ is a closed subset of ${\bf R}^N$ with smooth boundary such that its projection onto the $x_1$-axis is bounded, while it is periodic in the rest of variables $(x_2,\ldots, x_N)$. We assume that ${\bf R}^N \setminus K$ is connected. Our goal is to study what happens when a planar traveling front coming from $x_1 = +\infty$ meets the wall $K$.

We first show that there is clear dichotomy between `propagation' and `blocking'. In other words, the traveling front either completely penetrates through the wall or is totally blocked, and that there is no intermediate behavior. This dichotomy result will be proved by what we call a De Giorgi type lemma for an elliptic equation on ${\bf R}^N$. Then we will discuss sufficient conditions for blocking, and those for propagation. This is joint work with Henri Berestycki and Francois Hamel.

Thu Oct 11

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Oct 11

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Oct 11

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Oct 11

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory
TBA
Thu Oct 11

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Oct 10

PDE Seminar

3:35pm - Vincent Hall 570
Soliton resolution for the critical nonlinear heat equation
Hiroshi Matano, Meiji University
Abstract:

In this talk, I will discuss the asymptotic behavior of radially symmetric solutions of the nonlinear heat equation on ${\bf R}^N$ $(N > 2)$ with the Sobolev critical power nonlinearity.

In the case of time-global solutions, we show that the solution is asymptotically decomposed into a finite sum of rescaled ground states that hardly interact with each other because the ratio of the rescaling parameters of different solitons tends to infinity. The total energy of the solution then converges to an integer multiple of the energy of the ground state. We call this behavior ``soliton resolution" of the solution.

In the case where the solution blows up in finite time, and if the blow-up is of type II in a certain sense, we show that a similar soliton resolution occurs near the blow-up point.

Finally we will show the existence of a multi-soliton time-global solution for the case $N > 6$. This is joint work with Frank Merle.

Tue Oct 09

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Oct 09

Math Physics Seminar

12:20pm - Vincent Hall 313
Signal Processing and Classification
Jimmy Broomfield
Abstract:

This talk will center around signal classification and it will include a demonstration in python. We will focus on how exploring three major
feature domains: The original time sampled data, the frequency domain, and the use of wavelet decompositions. A range of real world applications
will be discussed

Tue Oct 09

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Oct 09

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Oct 08

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Two applications of differential equations to automorphic forms
Kim Klinger-Logan, University of Minnesota
Mon Oct 08

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Oct 08

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: A chromatic approach to tmf cooperations
Paul van Koughnett, Purdue
Abstract:

The topological modular forms spectrum, tmf, is a cohomology theory constructed from elliptic curves that captures information about stable homotopy at chromatic heights less than or equal to 2. We present a description of the height 1 part of the algebra of tmf cooperations, and interpret it in terms of modular forms. This is joint work with Dominic Culver.

Mon Oct 08

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Oct 08

IMA Data Science Lab Seminar

1:25pm - Lind 305
A PDE Approach to a Prediction Problem Involving Randomized Strategies
Nadejda Drenska, University of Minnesota, Twin Cities
Abstract:

This work investigates a classical problem from online machine learning using methods from optimal control theory. The problem is a discrete time iterative process involving decision making at every step; the goal for mathematical analysis is to understand the optimal strategy and its consequences over a long period of time. The solution is analyzed through its continuous limit--an appropriately defined value function, which solves a PDE in the viscosity sense. The PDE is then used to determine the optimal strategies.

Bio
Nadejda went to Brown University as an undergraduate. She graduated with her Ph.D. in mathematics from the Courant Institute (NYU) with an adviser Robert Kohn. Nadejda is now a MCFAM postdoc at the University of Minnesota.

Mon Oct 08

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Oct 05

MCFAM Seminar

5:30pm - Vincent Hall 16
CCAR (Comprehensive Capital Analysis and Review) and Basel Framework - Risk Management Modeling
Dr. Xu Li
Abstract:

Dr.Xu Li will give an overview of what he is does in Market Risk Analytics as a SVP of Risk Analytics at Citi. He will then focus on a default model that is useful for both CCAR, the stress testing framework set out by the Federal Reserve (IDR) and Basel framework which is the international regulatory framework for banks (IRC, DRC). He will show the general ideas on modeling the default risks and discuss some options on the modeling choices.

Fri Oct 05

Combinatorics Seminar

3:35pm - Vincent Hall 570
The Rogers-Ramanujan identities- a historical view
Dennis Stanton, UMN
Abstract:

I will survey proofs of these identities, starting with Rogers in 1894. Included are excursions into q-series, partitions, combinatorics, Lie algebras, symmetric functions, statistical mechanics, probability and finite fields. I shall conclude with recent refinements in joint work with O'Hara.

Fri Oct 05

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Oct 05

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Oct 05

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Oct 05

Probability Seminar

9:30am -
CANCELLED

Thu Oct 04

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Oct 04

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Oct 04

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Stability of Ricci solitons
Huaidong Cao - Ordway Visitor, Lehigh University
Abstract:

In this talk we continue our discussion of the previous week on stability of
Ricci solitons, especially in four dimensions.

Thu Oct 04

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Oct 04

Special Events and Seminars

1:25pm - Vincent Hall 313
The Langlands-Kottwitz-Scholze method for Shimura varieties of abelian type
Alex Youcis, University of California, Berkeley
Abstract:

The local (and global) Langlands conjectures attempt to bridge the major areas of harmonic analysis and number theory by forming a correspondence between representations which naturally appear in both areas. A key insight due to Langlands and Kottwitz is that one could attempt to understand such a conjectural correspondence by comparing the traces of natural operators on both sides of the bridge. Moreover, it was realized that Shimura varieties present a natural means of doing this. For global applications, questions of reduction type (at a particular prime p) for these Shimura varieties can often be avoided, and for this reason the methods of Langlands and Kottwitz focused largely on the setting of good reduction. But, for local applications dealing with the case of bad reduction is key. The setting of bad reduction was first dealt with, for some simple Shimura varieties, by Harris and Taylor which they used, together with the work of many other mathematicians, to prove the local Langlands conjecture for GL_n. A decade later Scholze gave an alternative, more geometric, way to understand the case of bad reduction for certain Shimura varieties and was able to reprove the local Langlands conjecture for GL_n. In this talk we will discuss an extension of the ideas of Scholze to a wider class of Shimura varieties, as well as the intended application of these ideas to the local Langlands conjectures for more general groups.

Thu Oct 04

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Oct 04

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory

Thu Oct 04

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Oct 03

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Oct 02

Ordway Lecture Series

2:30pm - Vincent Hall 16
Microlocal codimension-three conjecture
Kari Vilonen, University of Melbourne, Ordway Visitor
Abstract:

Special functions (or distributions) can be understood and analyzed in terms of the systems of differential equations they satisfy. To this end, a general theory of systems of linear (micro) differential equations was developed by the Sato school in Kyoto. This point of view, in its various incarnations, is now ubiquitous in many parts of mathematics. For example, in the geometric Langlands program and representation theory it allows us to replace functions and group representations by geometric objects, perverse sheaves or D-modules. It has been well-known for a long time that the description of these objects gains more symmetry when one passes to the cotangent bundle. We explain the shape of the general microlocal structure of these objects and discuss, in particular, the role played by the codimension-three conjecture which was proved by Masaki Kashiwara and the speaker a few years ago.

Tue Oct 02

Dynamical Systems

2:30pm - Ford Hall 130
Dynamical Systems Seminar

Tue Oct 02

Math Physics Seminar

12:20pm - Vincent Hall 313
Math Physics Seminar

Tue Oct 02

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Oct 02

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Oct 01

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Lax-Phillips in rational-rank one
Paul Garrett
Mon Oct 01

Applied and Computational Math Colloquium

3:35pm - Vincent Hall 207
Applied and Computational Math Colloquium

Mon Oct 01

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: Grothendieck-Teichmuller group and braided Hopf algebras
Craig Westerland, University of Minnesota
Abstract:

The primitives in a classical Hopf algebra form a Lie algebra (in fact, a Lie subalgebra of the Hopf algebra).  For a braided Hopf algebra, this is no longer the case.  Consequently, all of the structure theorems for Hopf algebras (e.g., the Milnor-Moore and Poincaré-Birkhoff-Witt theorems) break down in this setting. This is a report on ongoing work in which we construct an operad (a braided form of the Lie operad) which governs the algebraic structure of the primitives in a braided Hopf algebra.  We can interpret this operad in terms of the homology of covering spaces of the 2-dimensional little disks operad.  This gives rise to an action of Drinfeld's Grothendieck-Teichmuller group on this operad which may be related to Drinfeld's original definition of this group.

Mon Oct 01

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Mon Oct 01

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Tyler Whitehouse, Gigantum
Mon Oct 01

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Sep 28

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar - No Seminar

Fri Sep 28

Combinatorics Seminar

3:35pm - Vincent Hall 570
Pattern inventory polynomials for consonances and dissonances
Octavio Agustín-Aquino, Universidad Tecnológica de la Mixteca
Abstract:

Dennis White obtained formulas from the Pólya-Redfield theory for counting patterns with a certain group of automorphisms. We apply this to the problem of counting the so-called strong dichotomies, which are self-complementary rigid patterns of equitempered scales with an even number of tones. Strong dichotomies are models for the selection of consonances and dissonances in counterpoint, and are of capital importance for Guerino Mazzola's counterpoint theory. Furthermore, pattern inventory polynomials for strong dichotomies exhibit, in certain cases, a kind of cyclic sieving phenomenon, and we conjecture that there is a nice regularity for the cases when this holds true.

Fri Sep 28

Probability Seminar

2:30pm - Vincent Hall 209
Stationary coalescing walks on the lattice
Arjun Krishnan, University of Rochester
Abstract:

Consider a measurable dense family of semi-infinite nearest-neighbor paths on the integer lattice in d dimensions. If the measure on the paths is translation invariant, we completely classify their collective behavior in d=2 under mild assumptions. We use our theory to classify the behavior of semi-infinite geodesics in random translation invariant metrics on the lattice; it applies, in particular, to first- and last-passage percolation. We also construct several examples displaying unexpected behaviors. (joint work with Jon Chaika)

Fri Sep 28

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Sep 28

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Sep 28

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
If a tree falls in the woods and nobody hears, does it make a sound? (Or, making sure your code runs anywhere.)
Tyler Whitehouse, Gigantum
Abstract:

Most researchers don’t have the time or the skill to apply the kinds of software development best practices needed to make their computational work transparent, reproducible, and easy to use. Despite repeated calls by publishers and funders to include usable and understandable code with publications, it is still too much work to be done with the resources allotted. Such problems are not unique to academia, and the penetration of machine learning and data science in industry has brought these issues to the attention of commercial enterprise as well. Reproducibility is a problem for everyone.

This talk will demonstrate an open source data science platform that automates the issues around transparency, reproducibility, and ease of use for work done in open source languages and frameworks like Python and R. It will show how easy it is to set up computational and data science environments of varying complexity that can be shared with anybody in the world with no extra labor or set up.

Bio
Tyler Whitehouse did an undergraduate degree in math at UC Santa Cruz and a Ph.D. at the University of Minnesota. He graduated in 2009 after working with Professor Gilad Lerman on problems dealing with the rectifiability of sets and measures in Hilbert spaces, then going on to Vanderbilt University as a postdoc for 3 years. From 2012 to 2017 he worked as a data scientist and consultant in the Washington DC area. Currently, he is the president of a data science software startup in the DC area.

Fri Sep 28

Probability Seminar

9:30am -
CANCELLED

Thu Sep 27

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Sep 27

Analysis and PDE Working Seminar

3:40pm - Ford Hall 155
Mean Field Games
Sam Stewart
Abstract:

Finding emergent equilibria of games with finitely many players is hard, especially if players' strategies depend on each other. For example, what is the best strategy to escape a crowded room? Each player has to mentally simulate the potential strategies of other players so best strategies become recursive. Lasry and Lions (Pierre Lions is a Fields medalist for other work) devised a framework (mean field games) in 2007 for connecting these games to PDEs. The idea is simple: take the number of players to infinity and instead track a density and its velocity (strategy) field. Two coupled PDEs emerge, one in forward time (describing the world evolution) in one in backward time describing the best strategies. In this talk, I'll give a brief intro and then outline a cool example: crowd waves in soccer stadiums. A dead-simple mean field game model predicts traveling waves as long as the stadium's diameter isn't too small.

Thu Sep 27

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Abstract:

Speaker:
Affiliation:
Abstract

Thu Sep 27

Ordway Lecture Series

3:35pm - Vincent Hall 16
Microlocal codimension-three conjecture
Kari Vilonen, University of Melbourne, Ordway Visitor
Abstract:

Special functions (or distributions) can be understood and analyzed in terms of the systems of differential equations they satisfy. To this end, a general theory of systems of linear (micro) differential equations was developed by the Sato school in Kyoto. This point of view, in its various incarnations, is now ubiquitous in many parts of mathematics. For example, in the geometric Langlands program and representation theory it allows us to replace functions and group representations by geometric objects, perverse sheaves or D-modules. It has been well-known for a long time that the description of these objects gains more symmetry when one passes to the cotangent bundle. We explain the shape of the general microlocal structure of these objects and discuss, in particular, the role played by the codimension-three conjecture which was proved by Masaki Kashiwara and the speaker a few years ago.

Thu Sep 27

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Second variation of Perelman's entropy and stability of Ricci solitons
Huaidong Cao, Ordway Visitor, Lehigh University
Abstract:

Einstein metrics are critical points of the well-known classical Hilbert action
(namely the total scalar curvature functional) under volume normalization. Likewise,
Ricci solitons are critical points of Perelman's entropy.
In this talk, we shall discuss the second variation of Perelman's entropy and stability
of compact Ricci solitons. It turns out the stability for positive Einstein manifolds is
related to two eigenvalue estimates: the first eigenvalue of the Laplacian on functions,
and that of the Lichnerowicz Laplacian on symmetric 2-tensors.

Thu Sep 27

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Commutative Algebra Seminar

Thu Sep 27

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory

Thu Sep 27

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Sep 27

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Sep 26

PDE Seminar

3:30pm - Vincent Hall 570
PDE Seminar

Tue Sep 25

Colloquium

3:35pm - Vincent Hall 16
Microlocal codimension-three conjecture
Kari Vilonen, University of Melbourne, Ordway Visitor
Abstract:

Special functions (or distributions) can be understood and analyzed in terms of the systems of differential equations they satisfy. To this end, a general theory of systems of linear (micro) differential equations was developed by the Sato school in Kyoto. This point of view, in its various incarnations, is now ubiquitous in many parts of mathematics. For example, in the geometric Langlands program and representation theory it allows us to replace functions and group representations by geometric objects, perverse sheaves or D-modules. It has been well-known for a long time that the description of these objects gains more symmetry when one passes to the cotangent bundle. We explain the shape of the general microlocal structure of these objects and discuss, in particular, the role played by the codimension-three conjecture which was proved by Masaki Kashiwara and the speaker a few years ago.

Tue Sep 25

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Sep 25

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Sep 24

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Lax-Phillips estimates [cont'd]
Paul Garrett
Mon Sep 24

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Sep 24

Dynamical Systems

2:30pm - Vinent Hall 570
Water transport in models of dryland vegetation patterns
Punit Gandhi, MBI, Ohio-State University
Abstract:

Regular spatial patterns in the vegetation growth of dryland ecosystems are thought to arise through self-organization in response to water scarcity. This behavior has been qualitatively reproduced by reaction-advection-diffusion systems that model various interactions between the plants and their environment. The patterns most often appear on very gentle slopes as bands of vegetation separated by bare soil with characteristic spacing on the order of 100 meters. I will use a simple modeling framework and an idealized topography to discuss the role of water transport in determining (1) the shape of individual vegetation bands and (2) the region of the landscape occupied vegetation patterns. The results are in qualitative agreement with observations from remote sensing data, and suggest that the placement of the patterns relative to ridges and valleys on the terrain may provide some indication of resilience to ecosystem collapse under aridity stress. I will also discuss prospects for improved water transport models that provide a more detailed picture of processes governing surface/subsurface water dynamics across timescales.

Mon Sep 24

IMA Data Science Lab Seminar

1:25pm - Lind 305
Genetics of mRNA and Protein Expression in Large Yeast Populations
Frank Albert, University of Minnesota, Twin Cities
Abstract:

Genetic variation among individuals is an important source of phenotypic variation within species. Many of these genetic effects are due to regulatory variation that influences gene expression. However, the full extent and nature of regulatory variation remains unknown due to the limited sample sizes that are typically studied, resulting in low statistical power.

I will discuss our ongoing work addressing this limitation for the proteome and the transcriptome in the yeast Saccharomyces cerevisiae. For protein levels, we devised an approach based on extremely large pools of genetically different cells that carry proteins with fluorescent tags. For mRNA levels, we used RNA sequencing to profile gene expression in more than 1,000 recombinant yeast individuals. The statistical power of this dataset is high enough to map thousands of regulatory loci that together account for >70% of the heritability of mRNA levels. Together, these data provide a comprehensive view of how genetic variation influences gene expression.

Mon Sep 24

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Sep 21

MCFAM Seminar

5:30pm - Vincent Hall 16
Topological Data applied to Finance
Kaisa Taipale - 2018 MCFAM Summer Seminar Students, University of Minnesota
Fri Sep 21

Combinatorics Seminar

3:35pm - Vincent Hall 570
Science Fiction 2018
Adriano Garsia, UC San Diego
Abstract:

http://www-users.math.umn.edu/~hopki319/seminar_fall18.html#20180921

Fri Sep 21

Probability Seminar

2:30pm - Vincent Hall 209
The maximum of the characteristic polynomial for a random permutation matrix
Nicholas Cook, UCLA
Abstract:

Let $P$ be a uniform random permutation matrix of size $N$ and let $\chi_N(z)= \det(zI - P)$ denote its characteristic polynomial. We prove a law of large numbers for the maximum modulus of $\chi_N$ on the unit circle, specifically,
\[
\sup_{|z|=1}|\chi_N(z)|= N^{x_c + o(1)}
\]
with probability tending to one as $N\to \infty$, for a numerical constant $x_c\approx 0.652$. The main idea of the proof is to uncover an approximate branching structure in the distribution of (the logarithm of) $\chi_N$, viewed as a random field on the circle, and to adapt a well-known second moment argument for the maximum of the branching random walk. Unlike the well-studied \emph{CUE field} in which $P_N$ is replaced with a Haar unitary, the distribution of $\chi_N(z)$ is sensitive to Diophantine properties of the argument of $z$. To deal with this we borrow tools from the Hardy--Littlewood circle method in analytic number theory. Based on joint work with Ofer Zeitouni.

Fri Sep 21

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Sep 21

Student Topology Seminar

1:30pm - Vincent Hall 311
Student Algebra and Topology Seminar

Fri Sep 21

Probability Seminar

9:30am -
CANCELLED

Thu Sep 20

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Sep 20

Colloquium

3:35pm - Vincent Hall 16
Colloquium

Thu Sep 20

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Monotonicity formulas and Type I singularities
Huaidong Cao, Ordway Visitor, Lehigh University
Abstract:

In this talk we shall introduce Huisken's monotonicity formula for the mean curvature flow and Perelman's monotonicity formulas for the Ricci flow. We shall discuss their applications, including the role they play in studying Type-I singularities of the flows.

Thu Sep 20

Commutative Algebra Seminar

1:25pm - Ford Hall 170
Random Monomial Ideals
Jay Yang, University of Minnesota
Abstract:

I will discuss the contents of my joint paper with Daniel Erman, Random Flag Complexes and Asymptotic Syzygies. In this paper we use the Stanley-Reisner ideals of random flag complexes to construct new examples of Ein and Lazarsfeld's non-vanishing for asymptotic syzygies, and of Ein, Erman, and Lazarsfeld's conjecture on the asymptotic normal distribution of Betti numbers. I will also discuss some work in progress related to the Random Monomial Ideals paper by De Loera, Petrovic, Silverstein, Stasi, and Wilburne.

Thu Sep 20

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory

Thu Sep 20

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Sep 20

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Sep 19

PDE Seminar

3:30pm - Vincent Hall 570
On sparse bounds for some biparameter operators
Jose Conde Alonso, Department of Mathematics, Brown University
Abstract:

The last few years have seen a great deal of work around the concept of sparse domination. This is a technique that allows one to study quantitative inequalities for a wide range of important operators in harmonic analysis in a unified and precise way. We briefly review what sparse domination is and we will explain the very different situation that one en- counters when the operators under study are biparametric, that is, when we consider spaces whose dilations need not be isotropic. Based on joint work (in progress) with Alex Barron, Yumeng Ou and Guillermo Rey.

Tue Sep 18

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Tue Sep 18

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Sep 17

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Lax-Phillips estimates for rank-one groups
Paul Garrett, University of Minnesota
Mon Sep 17

Topology Seminar

3:30pm - Vincent Hall 301
Topology Seminar: TBA

Mon Sep 17

Dynamical Systems

2:30pm - Vinent Hall 570
Careful or colorful: A mathematical model for the evolution of animal ornaments
Danny Abrams, Northwestern
Abstract:

Extravagant and costly ornaments (e.g., deer antlers or peacock feathers) are found throughout the animal kingdom. Charles Darwin was the first to suggest that female courtship preferences drive ornament development through sexual selection. In this talk I will describe a minimal mathematical model for the evolution of animal ornaments, and will show that even a greatly simplified model makes nontrivial predictions for the types of ornaments we expect to find in nature.

Mon Sep 17

Cockburn's Seminar

9:00am - Vincent Hall 301
Cockburn's Seminar

Fri Sep 14

MCFAM Seminar

5:30pm - Vincent Hall 16
How to Get the Most Out of the MFM
MFM 2nd Yr. Student/Alumni Panel, U of M - School of Mathematics - MCFAM
Fri Sep 14

Combinatorics Seminar

3:35pm - Vincent Hall 570
Ehrhart polynomial of a polytope plus dilating zonotope
Sam Hopkins, University of Minnesota
Abstract:

In earlier joint work with Pavel Galashin, Thomas McConville, and Alex Postnikov, we introduced certain directed graphs, depending on a deformation parameter k, whose vertex sets are the weight lattice of a root system. We showed that there is a natural way to label the connected components of these directed graphs across values of k so that the number of points in each connected component is a polynomial in k, which we termed an "Ehrhart-like polynomial" in analogy with the Ehrhart polynomials of lattice polytopes. We conjectured that these Ehrhart-like polynomials have nonnegative integer coefficients. This conjecture prompts us to study the polynomial which counts the number of lattice points in the Minkowski sum of a permutohedron and a dilating regular permutohedron, or more generally in the Minkowski sum of a polytope and a dilating zonotope. We extend Stanley's well-known formula for the Ehrhart polynomial of a zonotope to give a formula for this polynomial. And we then use this formula, together with a subtle integrality property of slices of permutohedra, to give a positive, combinatorial formula for the Ehrhart-like polynomials mentioned above. This is joint work with Alex Postnikov.

Fri Sep 14

Probability Seminar

2:30pm - Vincent Hall 209
The travel time to infinity in percolation
Wai-Kit Lam, UMN
Abstract:

On the two-dimensional square lattice, assign i.i.d. nonnegative weights to the edges with common distribution $F$. For which distributions $F$ is there an infinite self-avoiding path with finite total weight? It has long been known that there is no such infinite path when $F(0) < 1/2$ (there are only finite clusters of zero-weight edges), and there is one when $F(0) > 1/2$ (there is an infinite cluster of zero-weight edges). The critical case, $F(0) = 1/2$, is considerably more difficult due to the presence of finite clusters of zero-weight edges on all scales. In a joint work with M. Damron and X. Wang, we give a necessary and sufficient condition on $F$ for the existence of an infinite finite-weight path, and study the asymptotic behaviors of the first-passage time in the critical case. I will also discuss a recent work with M. Damron and J. Hanson in which we prove some limit theorems for the first-passage time in the critical case on the triangular lattice.

Fri Sep 14

Lie Theory Seminar

2:30pm - Vincent Hall 313
D-modules, perverse sheaves, and the Riemann-Hilbert correspondence: an overview
Kai-Wen Lan, University of Minnesota
Fri Sep 14

Student Topology Seminar

1:30pm - Vincent Hall 311
Fomin-Kirillov Algebras, and why we care
Greg Michel
Abstract:

In this talk, I'll introduce an interesting family of algebras called the Fomin-Kirillov algebras. We'll explore some basic properties and talk about how better understanding these algebras could lead to some fascinating results in Algebraic Topology.

Fri Sep 14

Probability Seminar

9:30am -
CANCELLED

Thu Sep 13

Student Combinatorics Seminar

4:40pm - Vincent Hall 570
Student Combinatorics and Algebra Seminar

Thu Sep 13

Colloquium

3:35pm - Vincent Hall 16
Singularities of the Ricci flow and Ricci solitons
Huai-Dong Cao, Lehigh University, Ordway Visitor
Abstract:

Understanding formation of singularities has been an important subject in the study of the Ricci flow and other geometric flows. It turns out generic singularities in the Ricci flow are modeled on shrinking Ricci solitons. In this talk, I will discuss some of the recent progress on classifications of shrinking Ricci solitons and their stability/instability with respect to Perelman's $\nu$-entropy.

Thu Sep 13

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Sep 13

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory

Thu Sep 13

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Sep 13

Climate Seminar

11:15am - Vincent Hall 570
Climate Seminar

Wed Sep 12

PDE Seminar

3:30pm - Vincent Hall 570
Estimates of the entropy numbers of the Sobolev embedding near the limit case
Yuri Netrusov, Bristol
Abstract:

In 1967 M.Birman and M.Solomyak proved the following remarkable result. Let l,d be positive integers in [1,\infty], and T be the embedding of W^l_p((0,1)^d) to L^q ((0,1)^d). Suppose that 0 < 1/p-1/q < l/d.
Then there are positive constants c_1, c_2 such that for all positive interges k the estimates c_1 k^{-l/d} \leq e_k(T) \leq c_2 k^{-l/d} hold. Here e_k(T) is the k-entropy number of T. Some generalizations and extensions of this result will be given. For instance under some restrictions on the parameters behavior of c_1, c_2
(as function of l/d-1/p+1/q) were investigated.

Tue Sep 11

Climate Seminar

11:15am - Vincent Hall 570
The Scientific Case for Anthropogenic Warming
Richard McGehee, University of Minnesota
Tue Sep 11

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Sep 10

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 1
Automorphic Forms and Number Theory

Mon Sep 10

Dynamical Systems

2:30pm - Vinent Hall 570
Dynamical Systems Seminar

Fri Sep 07

MCFAM Seminar

5:30pm - Vincent Hall 16
MCFAM Seminar

Fri Sep 07

Analysis and PDE Working Seminar

3:35pm - Vincent Hall 206
Sufficient conditions for $C^{1,\alpha}$ parametrization and rectifiability
Silvia Ghinassi, Stony Brook University
Abstract:

We provide sufficient conditions for a set or measure in $\mathbb{R}^n$ to be $C^{1,\alpha}$ $d$-rectifiable, with $\alpha \in [0,1]$. The conditions use a Bishop-Jones type square function and all statements are quantitative in that the $C^{1,\alpha}$ constants depend on such a function. Key tools for the proof come from Guy David and Tatiana Toro's parametrization of Reifenberg flat sets (with holes) in the H\"{o}lder and Lipschitz categories.

Fri Sep 07

Probability Seminar

2:30pm - Vincent Hall 209
Probability Seminar

Fri Sep 07

Lie Theory Seminar

2:30pm - Vincent Hall 313
Lie Theory Seminar

Fri Sep 07

Probability Seminar

9:30am -
CANCELLED

Thu Sep 06

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Sep 06

Student Number Theory Seminar

12:20pm - Vincent Hall 313
Student Number Theory

Thu Sep 06

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Sep 06

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Wed Sep 05

Commutative Algebra Seminar

10:10am - Vincent Hall 313
Using mixed Gauss--Manin systems to project, restrict, and dualize $A$-hypergeometric systems
Avi Steiner, Purdue
Abstract:

Let $A$ be an integer matrix, and assume that its semigroup ring $\mathbb{C}[\mathbb{N} A]$ is normal. I will discuss how to use mixed and dual mixed Gauss--Manin systems, a notion I introduced recently, to compute the holonomic dual of an $A$-hypergeometric system; and to compute, for $F$ a face of the cone of $A$, the projection and restriction of an $A$-hypergeometric system to the coordinate subspace corresponding to $F$.

Tue Sep 04

Climate Seminar

11:15am - Vincent Hall 570
Climate Change Seminar

Tue Sep 04

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Aug 31

Probability Seminar

9:30am -
CANCELLED

Tue Aug 28

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Aug 27

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Aug 24

Probability Seminar

9:30am -
CANCELLED

Wed Aug 22

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Aug 21

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Aug 20

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Aug 17

Probability Seminar

9:30am -
CANCELLED

Wed Aug 15

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Aug 14

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Aug 13

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Aug 10

Probability Seminar

9:30am -
CANCELLED

Wed Aug 08

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Aug 07

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Aug 06

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Aug 03

Combinatorics Seminar

1:30pm - Vincent Hall 113
Combinatorics Seminar
Theo Douvropoulos, IRIF, University of Paris-Diderot
Fri Aug 03

Probability Seminar

9:30am -
CANCELLED

Thu Aug 02

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Thu Aug 02

Combinatorics Seminar

11:00am - Vincent Hall 570
Combinatorics Seminar
Jang Soo Kim, Sungkyunkwan University
Abstract:

We introduce lecture hall tableaux, which are fillings of a skew Young diagram satisfying certain conditions. Lecture hall tableaux generalize both lecture hall partitions and anti-lecture hall compositions, and also contain reverse semistandard Young tableaux as a limit case. We show that the coefficients in the Schur expansion of multivariate little $q$-Jacobi polynomials are generating functions for lecture hall tableaux. Using a Selberg-type integral we show that the moment of multivariate little $q$-Jacobi polynomials, which is equal to a generating function for lecture hall tableaux of a Young diagram, has a product formula. We also explore various combinatorial properties of lecture hall tableaux. This is joint work with Sylvie Corteel.

Wed Aug 01

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Wed Aug 01

Special Events and Seminars

10:00am - Vincent Hall 16
REU Final Presentations

Tue Jul 31

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jul 31

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jul 31

Special Events and Seminars

10:00am - Vincent Hall 16
REU Final Presentations

Mon Jul 30

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jul 30

Special Events and Seminars

10:00am - Vincent Hall 16
REU Final Presentations

Fri Jul 27

Probability Seminar

9:30am -
CANCELLED

Thu Jul 26

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Thu Jul 26

Combinatorics Seminar

11:00am - Vincent Hall 570
Noncrossing partitions, the Bruhat order, and the cluster complex (joint work with Philippe Biane)
Matthieu Josuat-Verges, University of Paris-East Marne-la-Vallee, CNRS
Abstract:

Noncrossing partitions of a real reflection group can be defined as an interval in the absolute order (itself being defined using the reflection length). An observation at the origin of this work is the following: a cover relation in noncrossing partitions give two elements that are comparable in the Bruhat order, but the two orders might agree or disagree on such a pair. This leads to distinguishing two kinds of cover relations in noncrossing partitions, hence two new orders. We study various enumerative properties of these, that leads to nice connection with the cluster complex.

Wed Jul 25

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jul 24

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jul 24

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jul 23

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jul 20

Probability Seminar

9:30am -
CANCELLED

Thu Jul 19

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jul 18

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jul 17

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jul 17

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jul 16

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jul 13

Probability Seminar

9:30am -
CANCELLED

Thu Jul 12

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jul 11

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jul 10

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jul 10

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jul 09

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jul 06

Probability Seminar

9:30am -
CANCELLED

Thu Jul 05

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jul 04

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jul 03

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jul 03

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jul 02

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jun 29

Probability Seminar

9:30am -
CANCELLED

Thu Jun 28

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jun 27

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jun 26

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jun 26

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jun 25

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jun 22

Probability Seminar

9:30am -
CANCELLED

Thu Jun 21

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jun 20

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jun 19

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jun 19

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jun 18

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jun 15

Probability Seminar

9:30am -
CANCELLED

Thu Jun 14

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Wed Jun 13

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jun 12

Special Events and Seminars

3:00pm - Vincent Hall 301
Representation Theory Seminar
TBA
Tue Jun 12

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jun 11

Combinatorics Seminar

3:30pm - Vincent Hall 206
Wildly Nontransitive Dice
Joe Buhler
Abstract:

Nontransitive triples of dice have been known for (at least) 60 years. Let A = {2,6,7}, B = {1,5,9}, C = {3,4,8} denote dice taking each of the three indicated values with probability 1/3. As you can (and should!) check, A dominates B in the sense that when each is rolled the probability that A > B is greater than 1/2. Moreover, B dominates C, and C dominates A, so the dominance relation is non-transitive. To make matters worse, the triple A[2], B[2], C[2] --- where A[2] denotes the sum of two rolls of A, etc. --- is (as you have perhaps already checked) also a nontransitive triple. However, the cyclic dominance order is exactly the reverse of the earlier one. The goal of this talk is to present sets of dice with vastly more peculiar nontransitivity properties.

Mon Jun 11

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jun 08

Probability Seminar

9:30am -
CANCELLED

Wed Jun 06

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Jun 05

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon Jun 04

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri Jun 01

Probability Seminar

9:30am -
CANCELLED

Wed May 30

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue May 29

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon May 28

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri May 25

Probability Seminar

9:30am -
CANCELLED

Wed May 23

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue May 22

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon May 21

Climate Seminar

1:25pm - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Fri May 18

Probability Seminar

9:30am -
CANCELLED

Tue May 15

Topology Seminar

2:30pm - Vincent Hall 2
Topology Seminar

Tue May 15

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Mon May 14

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Automorphic Forms and Number Theory

Mon May 14

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri May 11

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri May 11

Probability Seminar

2:30pm - Vincent Hall 311
Probability Seminar

Fri May 11

Probability Seminar

9:30am -
CANCELLED

Thu May 10

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu May 10

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Wed May 09

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Topological categories containing the category FI - continuation
Cihan Bahran, University of Minnesota
Abstract:

This talk will not depend on any of the previous talks about the local cohomology of FI-modules. One of the flagship applications of FI-modules is on configuration spaces. In several cases, the natural FI-action on PConf(X) extends to an action of a topological category which FI strictly embeds into. The very presence of such an extended action significantly simplifies the associated sequence of representations of symmetric groups on cohomology, and in particular improves the stable ranges.

Tue May 08

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue May 08

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue May 08

Topology Seminar

2:30pm - Vincent Hall 2
Topology Seminar

Tue May 08

Special Events and Seminars

2:30pm - Ford Hall 130
Undergraduate Mathematics Research Seminar

Tue May 08

Math Physics Seminar

1:25pm - Vincent Hall 301
Math Physics Seminar

Tue May 08

IMA Data Science Lab Seminar

1:25pm - Lind 409
Objective functionals of machine learning on graphs and their continuum limits
Dejan Slepcev, Carnegie Mellon University
Abstract:

We will discuss variational problems arising in machine learning and their limits as the number of data points goes to infinity. Consider point clouds obtained as random samples of an underlying "ground-truth" measure. Graph representing the point cloud is obtained by assigning weights to edges based on the distance between the points.  Many machine learning tasks, such as clustering and semi-supervised learning, can be posed as minimizing  functionals on such graphs. We consider functionals involving graph cuts, graph laplacians and their limits as the number of data points goes to infinity. We will discuss  the limits of functionals  when the number of data points goes to infinity.   In particular we establish under what conditions the minimizers of discrete problems have a well defined continuum limit.

Tue May 08

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue May 08

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue May 08

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Mon May 07

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Automorphic Forms and Number Theory

Mon May 07

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon May 07

Special Events and Seminars

2:30pm - Vincent Hall 20
Dnamical Systems Seminar

Mon May 07

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri May 04

MCFAM Seminar

4:30pm - Vincent Hall 16
MCFAM Seminar

Fri May 04

Combinatorics Seminar

3:35pm - Vincent Hall 570
Gale-Robinson quivers, representations, and combinatorial formulas
Max Glick, Ohio State
Abstract:

Gale-Robinson sequences were one of the first examples of the Laurent phenomenon. Moreover, the associated quivers relate to the dimer model from physics. We investigate a family of representations of these quivers that are geared towards providing concrete information about the corresponding cluster algebras. In this way, we provide a representation theoretic explanation for known combinatorial formulas for the Gale-Robinson sequence and also obtain similar formulas for several other cluster variables. This is joint work with Jerzy Weyman.

Fri May 04

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri May 04

Probability Seminar

2:30pm - Vincent Hall 311
Probability Seminar

Fri May 04

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Lecture
Tatiana Yarmola, J.P. Morgan AG
Fri May 04

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri May 04

MathCEP Seminar

11:15am - Vincent Hall 113
MathCEP Seminar

Fri May 04

Probability Seminar

9:30am -
CANCELLED

Thu May 03

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu May 03

Colloquium

3:30pm - Vincent Hall 16
Fractal solutions of dispersive PDE on the torus
Burak Erdogan, Department of Mathematics, University of Illinois
Abstract:

In this talk we discuss qualitative behavior of certain solutions to linear and nonlinear dispersive partial differential equations such as Schrodinger and Korteweg-de Vries equations. In particular, we will present results on the fractal dimension of the solution graph and the dependence of solution profile on the algebraic properties of time.

Thu May 03

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Bochner-Kahler metrics (after R. Bryant)
Rui Loja Fernandes - Ordway Visitor, UIUC
Abstract:

In a seminal paper, R. Bryant gave a local description of Bochner-Kahler metrics and a classification of germs of such metrics. In this talk I will sketch a new approach to this classification using the theory of integrability of Lie algebroids. It provides new insight and allows for more precise results, extending the work of Bryant. Our approach can also be used to solve other geometric classification problems (e.g., symplectic connections with special holonomy). This is on-going joint work with Ivan Struchiner (U Sao Paulo, Brazil).

Thu May 03

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu May 03

Ordway Lecture Series

10:10am - Vincent Hall 16
p-adic Hodge theory and homotopy theory
Bhargav Bhatt, University of Michigan - Ann Arbor
Abstract:

In my colloquium talk on 4/26, I discussed the following result, giving a weak analogue of Hodge theory with torsion coefficients: if a smooth and proper complex variety X specializes to a smooth and proper variety X_p in characteristic p, then the mod p singular cohomology of X is controlled by the de Rham cohomology of X_p. The key innovation of this work is the construction of a p-adic cohomology theory that interpolates between known cohomology theories in p-adic geometry (such as p-adic etale cohomology and de Rham cohomology). In this talk, I shall discuss this construction and explain why it is closely related to certain periodicity theorems (such as Bott's and Bokstedt's) in homotopy theory. Joint work with Matthew Morrow and Peter Scholze.

Thu May 03

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 570
Geometric Analysis Learning Seminar

Wed May 02

PDE Seminar

3:35pm - Vincent Hall 570
A Phase Field Model for Thin Elastic Structures with Topological Constraint
Patrick Dondl, University of Freiburg, Germany
Abstract:

With applications in the area of biological membranes in mind, we consider the problem of minimizing Willmore’s energy among the class of closed, connected surfaces with given surface area that are confined to a fixed container. Based on a phase field model for Willmore’s energy originally introduced by de Giorgi, we develop a technique to incorporate the connectedness constraint into a diffuse interface model of elastic membranes. Our approach uses a geodesic distance function associated to the phase field to discern different connected components of the support of the limiting mass measure. We obtain both a suitable compactness property for finite energy sequences as well as a Gamma-convergence result. Furthermore, we present computational evidence for the effectiveness of our technique. The main argument in our proof is based on a new, natural notion to describe convergence of phase fields.

Wed May 02

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed May 02

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Algebraic Representation Theory Seminar

Tue May 01

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue May 01

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue May 01

Topology Seminar

2:30pm - Vincent Hall 2
Edge stabilization in the homology of graph braid groups
Ben Knudsen, Harvard University
Abstract:

We discuss a novel type of stabilization map on the configuration spaces of a graph, which increases the number of particles occupying an edge. Through these maps, the homology of the configuration spaces forms a module over the polynomial ring generated by the edges of the graph, and we show that this module is finitely generated, implying eventual polynomial growth of Betti numbers over any field. Moreover, the action lifts to an action at the level of singular chains, which contains strictly more information; indeed, we show that this differential graded module is almost never formal over the ring of edges. These results, along with numerous calculations, arise from consideration of an explicit chain complex, which is a structured enhancement of a cellular model first considered by Swiatkowski. We arrive at this model through a local-to-global approach combining ideas from factorization homology and discrete Morse theory. This is joint work with Byung Hee An and Gabriel Drummond-Cole.

Tue May 01

Special Events and Seminars

2:30pm - Ford Hall 130
Undergraduate Mathematics Research Seminar

Tue May 01

Math Physics Seminar

1:25pm - Vincent Hall 301
STEERING A PARTICLE ON A MATHEMATICALLY SMOOTH SURFACE
Mike Hennessey, University of St. Thomas
Abstract:

We consider the general problem of steering an infinitesimal propelled and steerable particle traversing on a mathematically smooth (vs. frictionless) surface, analogous to propelled skiing on the slopes where both the speed and body yaw rate serve as inputs to the system and lateral motion is not allowed, i.e. through a no side-slip condition.
More specifically, focus is on derivation of relevant state equations in control input form, numerical and visual confirmation of state equation accuracy through specific simulations, and exploring interesting approaches to nonholonomic path planning and associated numerical simulation and visualization. Given the state equations (3rd order), in the interests of practical validation, they were exercised by considering motion on a number of smooth surfaces. The surfaces were selected for a variety of reasons, such as: the resulting qualitative trajectory is known a priori, there exists an opportunity to check numerical results with respect to previous results, or the surfaces are iconic and/or are geometrically rich.

Nonholonomic steering on the surface is a very interesting and challenging problem and several approaches are investigated: (1) steering using sinusoids (detailed), (2) steering on a trajectory, and (3) "drive-and-turn" (valid in this case). Prior to implementing the steering with sinusoids algorithm, it was necessary to transform the system into "one-chained" form. The first step entailed conversion to an approximate one-chained form model that possesses a certain structure, from which the process established by Murray et. al. can be successfully launched, where two special smooth scalar functions of the states are sought that possess special relationships to Lie-related distribution spaces associated with the control input vectors. Inputs are then transformed as well via specialized Lie derivatives. It was demonstrated through simulation that steering to an arbitrary system state on a faceted surface can be accomplished with sinusoidal inputs in only one maneuver set (i.e. maneuver A & B). Using this fact, the work presented culminates with steering to an arbitrary system state on a smooth surface that can be accomplished by essentially iterating on a steering algorithm that assumes the particle is on a plane tangent to the smooth surface at the point of interest. In this regard, it is shown that a sequence of maneuver sets (A_i, B_i) converges rather quickly in the example demonstrated.

Tue May 01

IMA Data Science Lab Seminar

1:25pm - Lind 305
Genetics of mRNA and protein expression in large yeast populations
Frank Albert, University of Minnesota, Twin Cities
Abstract:

Genetic variation among individuals is an important source of phenotypic variation within species. Many of these genetic effects are due to regulatory variation that influences gene expression. However, the full extent and nature of regulatory variation remains unknown due to the limited sample sizes that are typically studied, resulting in low statistical power. I will discuss our ongoing work addressing this limitation for the proteome and the transcriptome in the yeast Saccharomyces cerevisiae. For protein levels, we devised an approach based on extremely large pools of genetically different cells that carry proteins with fluorescent tags. For mRNA levels, we used RNA sequencing to profile gene expression in more than 1,000 recombinant yeast individuals. The statistical power of this dataset is high enough to map thousands of regulatory loci that together account for >70% of the heritability of mRNA levels. Together, these data provide a comprehensive view of how genetic variation influences gene expression.

Tue May 01

IMA Data Science Lab Seminar

1:25pm - Lind 305
Lecture
Zachi Attia, Mayo Clinic
Tue May 01

Analysis and PDE Working Seminar

1:25pm - B45 Tate Hall
Analysis & PDE Working Seminar

Tue May 01

Climate Seminar

11:30am - 570 Vincent Hall
Climate Change Seminar (Bonny - ATTEND)
Richard McGehee
Tue May 01

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue May 01

Ordway Lecture Series

10:10am - Vincent Hall 16
The direct summand conjecture and its derived variant
Bhargav Bhatt, University of Michigan - Ann Arbor
Abstract:

In the late 60's, Hochster formulated the direct summand conjecture (DSC) in commutative algebra, which is the following innocuous looking assertion: a finite extension A --> B of commutative rings admits an A-module splitting if A is regular and noetherian. A few years later, Hochster himself proved the DSC when the ring contains a field; this and related ideas eventually had a significant impact on the development of the theory of F-singularities.

In the mixed characteristic setting, the case of dimension <= 3 was settled by Heitmann in the 90's. The general case was resolved beautifully by Yves Andr\'e in late 2016 using perfectoid geometry.

In this talk, I'll present a simplification of Andr\'e's proof of DSC. I will also explain why similar ideas help establish a derived variant of the DSC put forth by de Jong; the latter roughly states that regular rings have rational singularities. One of my main goals in this talk to explain why passing from a mixed characteristic ring to a perfectoid extension is a useable analogue of the passage to the perfection (direct limit over Frobenius) in characteristic p.

Tue May 01

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Tue May 01

Special Events and Seminars

8:30am - Vincent Hall 570
Senior Honors Presentations
Senior Honors Presentations
Abstract:

8:30- 8:50, Owen Levin, working title "Approximation Algorithms for Network Connectivity," adviser
Professor Reiner
9- 9:20, Maria Gilbert, working title "Hurwitz Actions in Complex Reflection Groups", adviser Professor Reiner
9:30-9:50, Ryan Vogt, "Detection of Non-Symmetric Balanced Configurations", adviser Professor Moeckel
10-10:20, Ian McMeeking, "Computing With Noncongruence Subgroups", adviser Professor Brubaker
10:30-10:50, Bat-Orgil Batsaikhan, “Generative Capsule Network", adviser Professor Lerman.
11-11:20, Elena Hafner, “Face Structure and Volume of the Birkhoff Polytope", adviser ProfessorMusiker

Everyone welcome. Honors undergraduate math students present a short account of their work.

Mon Apr 30

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Curiosities of exotic eigenfunction expansions
Adrienne Sands, University of Minnesota
Mon Apr 30

Applied and Computational Math Colloquium

3:35pm - Lind Hall 215
Optical phenomena in layered 2D materials
Matthias Maier, University of Minnesota
Abstract:

In the past few years the dream of manipulating the laws of optics at will
has evolved into a reality with the use of metamaterials. These structures
have made it possible to observe aberrant behavior like no refraction, and
negative refraction. The level of control of the path and dispersion of
light that is offered by metamaterials is of fundamental interest and can
lead to exciting applications. In particular, plasmonic metamaterials offer
significant flexibility in tuning permittivity or permeability values. This
advance has opened the door to novel devices and applications that include
tunable metamaterials, optical cloaking, and subwavelength focusing lenses.
There is a compelling need for controllable numerical schemes which, placed
on firm mathematical grounds, can reliably describe optical phenomena in a
variety of geometries.

In this talk we present analytical and numerical results for the simulation
of optical phenomena on 2D materials and layered structures. In particular,
we introduce a homogenization theory of layered heterostructures to design
novel devices, and present a number of applications of the framework to
optical device simulations. Aspects of the numerical treatment such as
absorbing perfectly matched layers, local refinement and a-posteriori error
control are discussed as well.

Mon Apr 30

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon Apr 30

Special Events and Seminars

2:30pm - Vincent Hall 20
Dnamical Systems Seminar

Mon Apr 30

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri Apr 27

MCFAM Seminar

5:30pm - Tate Hall 101
MCFAM Seminar

Abstract:

Bio:

Fri Apr 27

Combinatorics Seminar

3:35pm - Vincent Hall 570
Young tableaux, Kazhdan-Lusztig cells, and Springer fibers
Dongkwan Kim, MIT
Abstract:

The generalized Robinson-Schensted algorithm, introduced by J.-Y. Shi, is a surjection from the affine symmetric groups to the pairs of row-standard Young tableaux of the same shape. It was used to prove the conjecture of Lusztig on the enumeration of left cells in affine symmetric groups. On the other hand, combinatorics of row-standard Young tableaux is also closely related to the affine paving of Springer fibers. In this talk, I briefly recall these concepts and how they are related, and focus on generalizations of this picture to other classical types.

Fri Apr 27

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri Apr 27

Probability Seminar

2:30pm - Vincent Hall 311
Probability Seminar

Fri Apr 27

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
Lecture
Guy-vanie Miakonkana, Travelers Insurance
Fri Apr 27

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri Apr 27

MathCEP Seminar

11:15am - Vincent Hall 113
Patterns of Gendered Performance Difference in Introductory STEM Courses
Journal Article Discussion
Abstract:

We will discuss data compiled from the University of Michigan in "Patterns of Gendered Performance Difference in Introductory STEM Courses”. This data looks at student performance as measured by grades in 116 large courses at the University of Michigan and examines performance by gender and discipline. The authors find that most STEM courses impose a grade penalty on all students (grades in these courses are lower than their average grades in all other courses), and the grade penalty is greater for females than males. This gendered performance difference does not exist in all disciplines. The authors hypothesize that evaluation methods used in STEM lectures in combination with stereotype threat may be responsible for these differences.

Fri Apr 27

Probability Seminar

9:30am -
CANCELLED

Thu Apr 26

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu Apr 26

Colloquium

3:30pm - Vincent Hall 16
Phase transitions and conic geometry
Ordway Visitor - Joel Tropp
Abstract:

A phase transition is a sharp change in the behavior of a mathematical model as one of its parameters changes. This talk describes a striking phase transition that takes place in conic geometry. First, we will explain how to assign a notion of "dimension" to a convex cone. Then we will use this notion of "dimension" to see that two randomly oriented convex cones share a ray with probability close to zero or close to one. This fact has implications for many questions in signal processing. In particular, it yields a complete solution of the "compressed sensing" problem about when we can recover a sparse signal from random measurements. This talk is designed for a general mathematical audience.

Based on joint works with Dennis Amelunxen, Martin Lotz, Mike McCoy, and Samet Oymak.

Thu Apr 26

IMA Data Science Lab Seminar

3:30pm - Vincent 16
Phase transitions and conic geometry
Joel Tropp, California Institute of Technology
Abstract:

A phase transition is a sharp change in the behavior of a mathematical model as one of its parameters changes. This talk describes a striking phase transition that takes place in conic geometry. First, we will explain how to assign a notion of "dimension" to a convex cone. Then we will use this notion of "dimension" to see that two randomly oriented convex cones share a ray with probability close to zero or close to one. This fact has implications for many questions in signal processing. In particular, it yields a complete solution of the "compressed sensing" problem about when we can recover a sparse signal from random measurements. This talk is designed for a general mathematical audience.

Based on joint works with Dennis Amelunxen, Martin Lotz, Mike McCoy, and Samet Oymak.

Thu Apr 26

Colloquium

2:30pm - Vincent Hall 16
Bounding torsion in cohomology
Ordway Visitor Bhargav Bhatt, University of Michigan
Abstract:

The integral cohomology groups of a complex algebraic variety are one of the most fundamental invariants associated to the variety. The ranks of these groups are well understood in terms of the equations defining the variety, thanks to Hodge theory. However, the torsion tends to be more "transcendental" in nature and is not easily accessible via algebraic techniques. Torsion cohomology classes have played a pivotal role in many recent advances in number theory, algebraic geometry, and representation theory, so it is important to better understand torsion from an algebraic perspective. In this talk, I'll discuss my recent work with Morrow and Scholze that explains how to bound the torsion explicitly in terms of the equations defining the variety.
________________________________

Thu Apr 26

Differential Geometry and Symplectic Topology Seminar

1:35pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 26

Differential Geometry and Symplectic Topology Seminar

1:25pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 26

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Apr 26

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 16
Geometric Analysis Learning Seminar

Thu Apr 26

Special Events and Seminars

9:00am - Vincent Hall 570
Senior Honors Presentations
Senior Honors Presentations
Abstract:

9-9:20, Kelly Catlin, "Finding an Optimal Velocity for a Race" , adviser Professor Mori
9:30-9:50, Mark Richard, "On Random Schrodinger Operators" , adviser Professor Chen
10-10:20, Paul Aarsvold, "Manifolds and the Shape of the Universe", adviser Professor Rogness
10:30-10-50, Lucy Yang, "Quadratic operad algebras induce BV algebras," adviser Professor Voronov

Everyone welcome. Honors undergraduate math students present a short account of their work.

Wed Apr 25

PDE Seminar

3:35pm - Vincent Hall 570
Scattering below the ground state for nonlinear Schrödinger equations
Jason Murphy
Abstract:

The ground state solution to the nonlinear Schrödinger equation (NLS) is a global, non-scattering solution that often provides a threshold between scattering and blowup. In this talk, we will discuss new, simplified proofs of scattering below the ground state threshold (joint with B. Dodson), as well as some extensions to other models of NLS (joint with R. Killip, M. Visan, J. Zheng, as well as with C. Miao and J. Lu).

Wed Apr 25

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed Apr 25

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Topological categories containing the category FI
Cihan Bahran, University of Minnesota
Abstract:

This talk will not depend on any of the previous talks about the local cohomology of FI-modules. One of the flagship applications of FI-modules is on configuration spaces. In several cases, the natural FI-action on PConf(X) extends to an action of a topological category which FI strictly embeds into. The very presence of such an extended action significantly simplifies the associated sequence of representations of symmetric groups on cohomology, and in particular improves the stable ranges.

Tue Apr 24

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue Apr 24

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue Apr 24

Special Events and Seminars

2:30pm - Ford Hall 130
Cyclic Groups and Partitions
Ashleigh Adams
Abstract:

A partition is a way of writing n as the sum of positive integers. While working in the cyclic of the finite group order n, it is possible to partition the entire group into a fixed size such that the partitions are equivalent to 0 modulo n. Since there is a direct bijective correspondence between Young Diagrams, cyclic partitions, and Gaussian binomial coefficients, it will be show that these box-partitions can be counted by the sum of specific coefficients within the Gaussian binomial coefficients.

Tue Apr 24

IMA Data Science Lab Seminar

1:25pm - Lind 305
Sketchy decisions: Low-rank convex matrix optimization with optimal storage
Joel Tropp, California Institute of Technology
Abstract:

Convex matrix optimization problems with low-rank solutions play a fundamental role in signal processing, statistics, and related disciplines. These problems are difficult to solve because of the cost of maintaining the matrix decision variable, even though the low-rank solution has few degrees of freedom. This talk presents an algorithm that provably solves these problems using optimal storage. The algorithm produces high-quality solutions to large problem instances that, previously, were intractable. Joint work with Volkan Cevher, Roarke Horstmeyer, Quoc Tran-Dinh, Madeleine Udell, and Alp Yurtsever.

Bio
Joel A. Tropp is Steele Family Professor of Applied & Computational Mathematics at the California Institute of Technology. He earned the Ph.D. degree in Computational Applied Mathematics from the University of Texas at Austin in 2004. His research centers on signal processing, numerical analysis, and random matrix theory. Prof. Tropp won a PECASE in 2008, and he has received society best paper awards from SIAM in 2010, EUSIPCO in 2011, and IMA in 2015. He has also been recognized as a Highly Cited Researcher in Computer Science each year from 2014–2017.

Tue Apr 24

Math Physics Seminar

1:25pm - Vincent Hall 301
Toward a classification of semidegenerate and degenerate 3D superintegrable systems
W. Miller, Jr.
Abstract:

Superintegrable systems of 2nd order in 3 dimensions with exactly 3-parameter potentials are intriguing objects. Next to the nondegenerate 4-parameter potential systems they admit the maximum number of symmetry operators, but their symmetry algebras don't close under commutation and not enough is known about their structure to give a complete classification. Some examples are known for which the 3-parameter system can be extended to a 4th order superintegrable system with a 4-parameter potential and 6 linearly independent symmetry generators. Here, we use B\^ocher contractions of the conformal Lie algebra so(5,C) to itself to generate a large family of 3-parameter systems with 4th order extensions, on a variety of manifolds, all from B\^ocher contractions of a single ``generic'' system on the 3-sphere. We give a contraction scheme relating these systems. The results have myriad applications for finding explicit solutions for both quantum and classical systems as well as a classification of degenerate systems with less than 3-parameter potentials.

Tue Apr 24

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Apr 24

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue Apr 24

Ordway Lecture Series

10:10am - Vincent Hall 16
Introduction to perfectoid spaces
Bhargav Bhatt, University of Michigan, Ann Arbor
Abstract:

Perfectoid geometry is a relatively newly uncovered corner of arithmetic geometry. It provides a context where we can fruitfully treat a prime number like a variable, thus opening the door to systematically applying algebro-geometric techniques to problems in arithmetic. Consequently, these spaces have already solved important problems not only in number theory, but also in algebraic geometry, representation theory, commutative algebra, and even homotopy theory. In this talk, I will introduce the basic notions of perfectoid geometry. The goal is to introduce the background necessary to follow the applications discussed in the following talks.

Tue Apr 24

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Mon Apr 23

Applied and Computational Math Colloquium

3:35pm - Keller Hall 3-180
Applied random matrix theory
Joel Tropp, Steele Family Professor of Applied & Computational Mathematics
Abstract:

Random matrices now play a role in many areas of theoretical, applied, and computational mathematics. Therefore, it is desirable to have tools for studying random matrices that are flexible, easy to use, and powerful. Over the last fifteen years, researchers have developed a remarkable family of results, called matrix concentration inequalities, that balance these criteria. This talk offers an invitation to the field of matrix concentration inequalities and their applications.

Mon Apr 23

IMA Data Science Lab Seminar

3:35pm - Keller 3-180
Applied Random Matrix Theory
Joel Tropp, California Institute of Technology
Abstract:

Random matrices now play a role in many areas of theoretical, applied, and computational mathematics. Therefore, it is desirable to have tools for studying random matrices that are flexible, easy to use, and powerful. Over the last fifteen years, researchers have developed a remarkable family of results, called matrix concentration inequalities, that balance these criteria. This talk offers an invitation to the field of matrix concentration inequalities and their applications.

Bio
Joel A. Tropp is Steele Family Professor of Applied & Computational Mathematics at the California Institute of Technology. He earned the Ph.D. degree in Computational Applied Mathematics from the University of Texas at Austin in 2004. His research centers on signal processing, numerical analysis, and random matrix theory. Prof. Tropp won a PECASE in 2008, and he has received society best paper awards from SIAM in 2010, EUSIPCO in 2011, and IMA in 2015. He has also been recognized as a Highly Cited Researcher in Computer Science each year from 2014–2017.

Mon Apr 23

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Automorphic Forms and Number Theory
Doga Guctenkorkmaz, University of Minnesota
Mon Apr 23

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon Apr 23

Topology Seminar

2:30pm - Vincent Hall 6
The Orlik-Terao algebra and the cohomology of configuration spaces
Nick Proudfoot, University of Oregon
Abstract:

The Orlik-Terao algebra is the subalgebra of all rational
functions in n variables generated by 1/(x_i - x_j). I will explain
how to use topological techniques to understand this algebra as a
graded representation of the symmetric group. I will also describe
two different connections (one proven and one conjectural) between
this algebra and the cohomology of configuration spaces.

Mon Apr 23

Special Events and Seminars

2:30pm - Vincent Hall 20
Dnamical Systems Seminar

Mon Apr 23

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri Apr 20

MCFAM Seminar

5:30pm - Vincent Hall 16
Introduction to Quantile Regression and its Applications in Health Care Cost Data Analysis
Lan Wang, University of Minnesota School of Statistics
Abstract:

Analysis of health care cost data is often complicated by a high level of skewness, heteroscedastic variances and the presence of missing data. Most of the existing literature on cost data analysis have been focused on modeling the conditional mean. We will introduce quantile regression techniques for estimating the conditional quantiles health care cost data. The quantile regression framework allows us to obtain a more complete picture of the effects of the covariates on the health care cost, and is naturally adapted to the skewness and heterogeneity of the cost data. The framework we introduce can handle missing data and large number of covariates.

Fri Apr 20

Combinatorics Seminar

3:35pm - Vincent Hall 570
Dual braid monoids, Koszul algebras, and clusters
Philippe Nadeau, U. Lyon 1
Abstract:

The dual braid monoid of a finite Coxeter group W is a homogeneous monoid with group of fractions the classical braid group attached to W. It was defined in general by David Bessis, and possesses nice algebraic and combinatorial properties. In this talk we will study the algebra of this monoid, and show that it belongs to the class of Koszul algebras. Moreover, positive elements of the cluster complex attached to W naturally index a family in the "Koszul dual" of this algebra. These elements conjecturally form a basis of this dual algebra.

This is joint work with Matthieu Josuat-Vergès and Jang Soo Kim.

Fri Apr 20

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri Apr 20

Probability Seminar

2:30pm - Vincent Hall 311
PDEs and semi-supervised learning on random geometric graphs
Jeff Calder, UMN
Abstract:

  Semi-supervised learning refers to machine learning algorithms that make use of both labeled data and unlabeled data for learning tasks. Examples include problems such as speech recognition, website classification, and discovering folding structure of proteins. In many problems there is an abundance of unlabeled data, while labeled data often requires expert labeling and is expensive to obtain. This has led to a resurgence of semi-supervised learning techniques, which use the topological or geometric properties of large amounts of unlabeled data to aid the learning task. In this talk, I will discuss some new rigorous PDE scaling limits for semi-supervised learning on random geometric graphs.p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; line-height: 15.0px; font: 13.0px Arial; color: #232323; -webkit-text-stroke: #232323}span.s1 {font-kerning: none}

Fri Apr 20

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
A Path to Industry: Some things you can do today to succeed tomorrow
Tatiana Yarmola, J.P. Morgan AG
Abstract:

This talk highlights a path to the field of modeling. Models are quantitative representations of real world phenomena and are used in many industries and business functions. People with STEM degrees have abilities to understand, evaluate and build models. Yet, there seems to be a lot of confusion on how to become the chosen one and get a job in the area. "A path to industry" explains which skills, beyond quantitative, an employer may be looking for, and gives examples of things you can start doing now to reframe your academic experience and stand out from the competition. It also encourages you to treat your career as an ongoing research project.

Bio
Tanya investigates model risks at JP Morgan Chase. As a model reviewer, she evaluated conceptual soundness, data inputs and implementations of models within the bank. At the UNECE Statistical Division, she assisted with strategic developments in the modernization of statistical production in the public sector. Her projects included gathering specifications for a big data sandbox, editing big data proposals, improving computations in the UNECE statistical database, and co-organizing a statistical data collection meeting. As a postdoctoral researcher in mathematics and physics, she established the original rigorous proofs of important statistical properties of Markov processes modeling gas behavior.

Fri Apr 20

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri Apr 20

MathCEP Seminar

11:15am - Vincent Hall 113
MathCEP Seminar

Thu Apr 19

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu Apr 19

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Thu Apr 19

Differential Geometry and Symplectic Topology Seminar

1:35pm - Vincent Hall 570
How to Make a Black Hole
Xianliang An, University of Toronto
Abstract:

Black holes are predicted by Einstein's theory of general relativity, and now we have ample observational evidence for their existence. However theoretically there are many unanswered questions about how black holes come into being. In this talk, with tools from hyperbolic PDE, quasilinear elliptic equations, geometric analysis and dynamical systems, we will prove that, through a nonlinear focusing effect, initially low-amplitude and diffused gravitational waves can give birth to a black hole region in our universe. This result extends the 1965 Penrose’s singularity theorem and it also proves a conjecture of Ashtekar on black-hole thermodynamics. Open problems and new directions will also be discussed.

Thu Apr 19

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Apr 19

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 570
Geometric Analysis Learning Seminar

Wed Apr 18

PDE Seminar

3:35pm - Vincent Hall 570
The Landis conjecture for elliptic operators
Luca Rossi, EHESS, Paris
Abstract:

The Landis conjecture, proposed in the 80s, states that if a solution of an elliptic equation decays faster than a suitable exponential then it must be identically equal to zero.This conjecture has been disproved by Meshkov in the case of complex-valued functions, but it remains open in the real case. In this talk, I will recall some partial results obtained by Kenig and collaborators. Next, I will present the proof of the conjecture in dimension one and its application to the radial case. Finally, I will consider the restriction to positive solutions and to operators with positive generalized principal eigenvalue.

Wed Apr 18

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed Apr 18

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Topological categories containing the category FI- cancelled
Cihan Bahran, University of Minnesota
Abstract:

This talk will not depend on any of the previous talks about the local cohomology of FI-modules. One of the flagship applications of FI-modules is on configuration spaces. In several cases, the natural FI-action on PConf(X) extends to an action of a topological category which FI strictly embeds into. The very presence of such an extended action significantly simplifies the associated sequence of representations of symmetric groups on cohomology, and in particular improves the stable ranges.

Tue Apr 17

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue Apr 17

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue Apr 17

Topology Seminar

2:30pm - Vincent Hall 2
Topology Seminar

Tue Apr 17

Special Events and Seminars

2:30pm - Ford Hall 130
Quivers, Representations, and Gabriel's Theorem
Nick White
Abstract:

Gabriel’s theorem states that a connected quiver has finite representation type if and only if its underlying graph has Dynkin type A, D, or E, and that for such quivers, the isoclasses of indecomposable representations are in bijection with the positive roots of the quiver’s associated quadratic form. The goal of this talk is to introduce some results that motivate Gabriel’s theorem and give an overview of the proof. Along the way, I will develop some language to talk about representations, including short exact sequences and projective resolutions.

Tue Apr 17

Math Physics Seminar

1:25pm - Vincent Hall 301
Symmetry Through the Ages
Jimmy Broomfield
Abstract:

In this talk, we explore the topic of symmetry viewed in the context of key mathematical breakthroughs. Historical stories will be accompanied by mathematical examples to shed light on what we mean by symmetry. In our journey, we will meet the likes of Évariste Galois, Sophus Lie, Felix Klein, and Emmy Noether.

Tue Apr 17

IMA Data Science Lab Seminar

1:25pm - Lind 305
Population Genomics of Host-microbiome Interactions
Ran Blekhman, University of Minnesota, Twin Cities
Abstract:

The composition of the microbial communities that colonize the human body varies widely across individuals and populations, and has been associated with numerous host traits and diseases. Although the microbiome is influenced by environmental factors, a strong host genetic factor is also expected to control the interaction between humans and the microbiome. Understanding the relative role of genetic and environmental factors in host-microbiome interactions is a central goal in human disease research. In my talk, I describe research in my lab, which is based on the hypothesis that the microbiome can be considered a quantitative trait, and thus we can directly map host genomic factors controlling the variation in the microbiome, as well as identify individual host genes and pathways that are regulated by the microbiome. I will describe our effort to create a systems-level view of the molecular interactions between host genes and microbial taxa, genes, and pathways in the gut; a characterization of how microbiome dynamics and taxa are controlled by host genetic variation; and a description of the mechanism with which the microbes regulate host genes. These results shed light on the interplay between human genomics and the microbiome, explain how this interaction affects disease, and would enable development of microbiome-based therapeutics and diagnostics that improve human health.

Tue Apr 17

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Apr 17

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue Apr 17

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Mon Apr 16

Applied and Computational Math Colloquium

3:35pm - Lind Hall 215
Interatomic Potentials from First Principles
Christoph Ortner (Warwick)
Abstract:

Quantum chemistry provides accurate and transferrable models for interatomic forces from electronic structure, but their extreme computational cost makes them unsuitable for simulating complex material phenomena such as plasticity, cracking, or embrittlement, that span many length- and time-scales. The canonical alternative to study atomistic mechanisms in materials are interatomic potentials (IPs), which are empirical models with comparatively poor accuracy and transferrability.

Three seminal papers (Behler & Parinello, 2007; Bartok et al, 2010; Shapeev, 2016) began to treat the construction of IPs as an approximation problem (or, "machine learning", to employ the modern term), instead of a modelling problem, which creates both a need and an opportunity for a mathematical theory of IPs. In this talk I will try to outline such a theory. starting from a quantum chemistry model (for simplicity I will focus on tight-binding), I will make a sequence of controlled approximations to eventually arrive at an interatomic potential with tunable cost/accuracy ratio.

This talk is based on ongoing (incomplete) work with Genevieve Dusson (Warwick), Gabor Csanyi (Cambridge) and Cas van der Oord (Cambridge).

Mon Apr 16

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
On zeroes of constant terms of Eisenstein series
Dev Hegde, University of Minnesota
Mon Apr 16

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon Apr 16

Dynamical Systems

2:30pm - Vincent Hall 20
The Foucault Pendulum -- with a Twist
Rick Moeckel, University of Minnesota
Abstract:

A Foucault pendulum is supposed to precess in a direction opposite to the earth's rotation, but nonlinear terms in the equations of motion can also produce precession. So what are you actually seeing when you watch one ? The talk will describe the motion of a nonlinear, spherical pendulum on a rotating planet. It turns out that the problem on a fixed energy level reduces to the study of a monotone twist map of an annulus. For certain values of the parameters, this leads to existence proofs for orbits which do not precess or else precess in the wrong direction. In fact there will be nonprecessing periodic solutions which return to their initial state after swinging back and forth just once. For pendula of modest size, these nonprecessing periodic solutions can be very nearly planar.

Mon Apr 16

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri Apr 13

MCFAM Seminar

5:30pm - Vincent Hall 16
Probability Space of Regression Models and Its Applications to Stress Case Scenario Testing
Validimir Ladyzhets, University of Connecticut School of Business & Lava Consulting Services LLC
Abstract:

In this presentation we discuss a modeling framework that has developed and tested for carrying out a feasibility study to find out whether the macroeconomic factors suggested by the Federal Reserve Bank (FRB) can be used to build robust and meaningful regression models for estimating time development of bank holding companies (BHC) revenues and/or losses. In the most general terms, this framework allows one to create a probability space of regression models, where model’s probability measure is defined by a regression model performance. The approach is illustrated by showing how a probability space of regression models can be created and used for estimating operational risk losses against three supervisory scenarios (supplied by FRB) - baseline, adverse, and severely adverse – for time development of key macroeconomic factors.

Bio: Dr. Vladimir Ladyzhets works in the field of Risk Modeling. He has has served in a variety of management positions for more than 15 years including: Banco Santander, GE Financial Services, Lava Consulting Services LLC, Lincoln Financial Group Babson Capital Management, Travelers, and Ernst & Young. In these firms he has focused on operational risk management, credit analytics, quantitative risk management, and predictive modeling. Since 2013 he has also been an adjunct professor at the University of Connecticut Business School where he teaches graduate courses in financial risk management. Dr. Ladyzhets holds a PhD in Applied Mathematics from the Novosibirsk State University.

Fri Apr 13

Combinatorics Seminar

3:35pm - Vincent Hall 570
Combinatorics Seminar

Fri Apr 13

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri Apr 13

Probability Seminar

2:30pm - Vincent Hall 311
The geometry of pure states in spherical spin glasses
Eliran Subag, New York University
Abstract:

One of the central ideas in the physical theory of mean-field spin glasses developed in the 80s was that the system decomposes into `pure states', organized in an ultrametric structure. In his seminal work Talagrand (2010) proved for a wide class of models the existence of such a decomposition -- a sequence of subsets on which the Gibbs measure asymptotically concentrates. Panchenko (2013) established the famous ultrametricity conjecture, implying, in particular, that those subsets are organized in a certain hierarchical structure.

In the context of the spherical models, I will describe a new geometric picture for the above, in which the hierarchy is expressed through a tree of nested spherical sections. In particular, the pure states concentrate on spherical bands corresponding to the leaves of this tree.

Fri Apr 13

IMA MCIM Industrial Problems Seminar

1:25pm - Lind 305
A Field Guide to Data Science in the Wild
Dan Atkins, Optum
Fri Apr 13

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri Apr 13

MathCEP Seminar

11:15am - Vincent Hall 113
Flipping 5251: A survey of the literature and my experiences flipping an upper-division math course
Melissa Lynn, University of Minnesota
Abstract:

"Flipped" course structures, where in-class and out-of-class activities are switched, have become increasingly popular as methods of incorporating active learning. Although flipped structures are most commonly used in Precalculus and Calculus courses, they can, in theory, be adapted for any math course. I will discuss my experiences flipping an upper-division math course and connect this with the literature on flipped classes, focusing on common components of flipped courses and their effectiveness. Reviewing the existing literature, in conjunction with my own experience, provides both evidence that flipping is effective and theories about why it is effective.

Thu Apr 12

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu Apr 12

Ordway Lecture Series

3:30pm - Vincent Hall 364
Hankel Transforms, Langlands Functoriality and Functional Equation of Automorphic L-functions (III)
Bao Chau Ngo, University of Chicago, Distinguished Ordway Visitor of UMN
Thu Apr 12

Colloquium

2:30pm - Vincent Hall 16
Perfectoid spaces, homological conjectures, and singularities in mixed characteristic
Linquan Ma, University of Utah
Abstract:

The homological conjectures have been a focus of research in commutative algebra since 1960s. They concern a number of interrelated conjectures concerning various homological properties of commutative rings to their internal ring structures. These conjectures had largely been resolved for rings that contain a field, but several remained open in mixed characteristic---until recently Yves Andre proved Hochster's direct summand conjecture and the existence of big Cohen-Macaulay algebras, which lie in the heart of the homological conjectures. The main new ingredient in the solution is to systematically use Scholze's theory of perfectoid spaces, which leads to many further developments in the study of mixed characteristic singularities. For example, using perfectoid algebras and big Cohen-Macaulay algebras, we can define the mixed characteristic analog of rational/F-rational and log terminal/F-regular singularities, and they turn out to have many applications to singularities over arithmetic families (this is based on recent joint work with Karl Schwede). In this talk, we will survey all these results.

Thu Apr 12

Differential Geometry and Symplectic Topology Seminar

1:35pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 12

Colloquium

1:30pm - Vincent Hall 570
"Matryoshka Dolls and Tinkertoys: Calabi-Yau Manifolds and Supersymmetry"
Charles Doran, University of Alberta
Abstract:

The geometry of Calabi-Yau manifolds and supersymmetry are key ingredients in string theory. We will take a non-traditional point of view on both of these. The hereditary structure of nested Calabi-Yau manifolds underlies string dualities and motivates an algebraic reinterpretation. Dimensional reduction of supermultiplets produces a discrete scaffolding (Adinkra graphs) that nevertheless possesses an emergent form of geometry. Surprisingly, we find that supermultiplets themselves bear the stamp of Calabi-Yau geometry. Our proof of this uses work of H.S.M. Coxeter inspired by a woodcut by M.C. Escher. The talk is designed to be broadly accessible to graduate students.

Thu Apr 12

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Apr 12

Combinatorics Seminar

12:20pm - Ford Hall 150
Cyclic Sieving and Cluster Duality for Grassmannian
Linhui Shen, Michigan State
Abstract:

The cyclic sieving phenomenon (CSP) was defined by Reiner, Stanton, and White as a generalization of J. Stembridge’s q=-1 phenomenon. In this talk, we investigate the CSP for plane partitions under a piecewise-linear toggling operation. We place our result in the context of cluster theory for Grassmannians. This is joint work with Daping Weng (Yale University).

Thu Apr 12

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 570
Geometric Analysis Learning Seminar

Wed Apr 11

PDE Seminar

3:35pm - Vincent Hall 570
Asymptotic limit of fractional Allen-Cahn equations and nonlocal minimal surfaces.
Yannick Sire, Johns Hopkins University
Abstract:

I will describe recent results on the singular perturbation limit of a fractional Allen-Cahn Equation modeling nonlocal phase transitions. The limiting interface appears to be a stationary nonlocal minimal surface. New nonlocal phenomena appear and the convergence is actually strong, something not happening in the local case. The basic tool is a deep GMT theorem due to Marstrand.

Wed Apr 11

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed Apr 11

Ordway Lecture Series

3:30pm - Vincent Hall 364
Hankel Transforms, Langlands Functoriality and Functional Equation of Automorphic L-functions (II)
Bao Chau Ngo, University of Chicago - Distinguished Ordway Visitor of UMN
Wed Apr 11

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Algebraic Representation Theory Seminar

Tue Apr 10

Colloquium

3:30pm - Vincent Hall 16
Hankel Transforms, Langlands Functoriality and Functional Equation of Automorphic L-functions (I)
Ordway Visitor - Ngo Bao Chau, University of Chicago
Abstract:

Since the beginning of the century, several approaches to Langlands functoriality conjecture have been proposed by Langlands himself, by Braverman-Kazhdan and Lafforgue, ....
In this lecture I will explain how these ideas may be combined and connected to recents works on singularities of certain arc spaces

Tue Apr 10

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue Apr 10

Topology Seminar

2:30pm - Vincent Hall 2
Topology Seminar

Tue Apr 10

Special Events and Seminars

2:30pm - Ford Hall 130
Undergraduate Mathematics Research Seminar

Tue Apr 10

IMA Data Science Lab Seminar

1:25pm - Lind 305
Human Activity Computing from Inside-out and Outside-in Visual Data
Hyun Soo Park, University of Minnesota, Twin Cities
Abstract:

We are witnessing a revolution of artificial intelligence that deeply permeates our lives in aid of large-scale data. However, such AI systems still cannot observe and process underlying mental states such as intent, emotion, and attention while nearly any three-year-old can effortlessly read the meaning of a simple nod, eye contact, or a pointed finger. What makes the three-year-old—and the rest of us—so different from these AI systems? My conjecture is the ability to discern microscopic behavioral signals is key, and in this talk, I will present two ways to measure such human activities: leveraging first-person and third-person visual data. Human perception is best captured in first-person videos as naturally following the visual attention of the wearers. This provides a detailed description of physical and social interactions with surrounding objects, people, and scenes. I will show that it is possible to uncover the underlying states that govern the interactions, e.g., control force and joint attention. Human body signals are better measured by third-person videos that convey the global context of the interactions, e.g., spatial relation of objects with face, body, and finger movements. My team has been developing a computational model to reconstruct human activities in 3D at unprecedented resolution by leveraging a large number of third-person videos. To the end, I will argue that these two visual measurements can be complementary, which will produce a powerful tool to analyze human behaviors.

Hyun Soo Park is an Assistant Professor at the Department of Computer Science and Engineering, the University of Minnesota. He is interested in understanding human visual sensorimotor behaviors from visual data. Prior to the UMN, he was a Postdoctoral Fellow in GRASP Lab at University of Pennsylvania. He earned his Ph.D. from Carnegie Mellon University.

Tue Apr 10

Math Physics Seminar

1:25pm - Vincent Hall 301
Moving frame methods and self-affine fractals
Yun Yang
Abstract:

In this talk, we define the notion of affine curvatures on a discrete planar curve. By the moving frame method, they are in fact the discrete Maurer-Cartan invariants. It shows that two curves with the same curvature sequences are affinely equivalent. On the other hand, by using the affine invariants and optimization methods, it becomes possible to collect the IFSs of some self-affine fractals with desired geometrical or topological properties inside a fixed area. In order to estimate their Hausdorff dimensions, GPUs can be used to accelerate parallel computing tasks. Furthermore, the method could be used to a much broader class.

Tue Apr 10

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Apr 10

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue Apr 10

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Mon Apr 09

Applied and Computational Math Colloquium

3:35pm - Lind Hall 215
Applied and Computational Math Colloquium

Mon Apr 09

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Information content of meromorphic continuations of operators
Paul Garrett, University of Minnesota
Mon Apr 09

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon Apr 09

Special Events and Seminars

2:30pm - Vincent Hall 20
Dnamical Systems Seminar

Mon Apr 09

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri Apr 06

MCFAM Seminar

4:30pm - Vincent Hall 16
MCFAM Seminar

Fri Apr 06

Combinatorics Seminar

3:35pm - Vincent Hall 570
Three Problems on expressions of elements of Coxeter groups
Jean-Philippe Labbé, Freie Universität Berlin
Abstract:

In 2004, Knutson and Miller asked whether subword complexes of Coxeter groups can be realized as the boundary of simplicial convex polytopes. Subword complexes incarnate several well-known structures: associahedra, finite type cluster complexes, simplices, and even-dimensional cyclic polytopes, for instance. Apart from those, only 1 non-trivial case has been found to be polytopal; this problem requires a deep understanding of reduced expressions in Coxeter groups. In this talk, I will describe three very closely related classical problems on expressions in Coxeter groups that reveal challenging aspects of this open problem.

Fri Apr 06

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri Apr 06

Probability Seminar

2:30pm - Vincent Hall 311
Mutant clone propagation in layered tissue
Katie Storey, UMN
Abstract:

Carcinogenesis, the transformation from healthy tissue to invasive cancer, is characterized by the progressive accumulation of mutations in a small group of founder cells. This talk focuses on the spread of premalignant cells during the process of carcinogenesis. We approximate a premalignant clone in layered tissue with a biased voter model on a set of stacked integer lattices. Using the dual process of the biased voter model, we determine the asymptotic propagation speed of the premalignant clone in this setting and compare it to the speed in one layer of tissue, which has been determined previously. Additionally we use this speed within a generalized multi-step model of carcinogenesis, to discuss the clinical implications that arise from differences in the underlying structure of the tissue.

Fri Apr 06

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri Apr 06

MathCEP Seminar

11:15am - Vincent Hall 113
MathCEP Seminar

Thu Apr 05

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu Apr 05

Colloquium

3:30pm - Vincent Hall 16
Boundary Conditions for Crystalline Defects
Ordway Visitor Christoph Ortner, University of Warwick
Abstract:

A key problem of atomistic materials modelling is to determine properties of crystalline defects, such as geometries, formation energies, or mobility, from which meso-scopic material properties or coarse-grained models (e.g., diffusion, dislocation dynamics, fracture) can be derived.In this lecture I will focus on the most basic task: determining the equilibrium configuration of a crystalline defect (time permitting I can comment on other properties). Even the very first question, "What is the <exact> model?", warrants discussion. To answer it I will present a thermo-dynamic limit argument which is interesting in its own right but more importantly provides a machinery for quantifying approximation errors in typical computational models, both classical as well as modern multi-scale schemes. It quickly transpires that the error is always due to an approximate descriptions of the crystalline far-field, resulting in an error in the boundary condition. This perspective naturally leads to an exceptionally promising new class of computational schemes where much of the hard work is done analytically in deriving higher-order continuum descriptions of the crystalline far-field.

Thu Apr 05

Differential Geometry and Symplectic Topology Seminar

1:35pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Apr 05

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Apr 05

Student Number Theory Seminar

11:15am - Ford Hall 170
Student Number Theory Seminar

Thu Apr 05

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 570
Geometric Analysis Learning Seminar

Wed Apr 04

PDE Seminar

3:35pm - Vincent Hall 570
The Aviles-Giga functional - A history, a survey and some new results
Andrew Lorent, University of Cincinnati
Wed Apr 04

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed Apr 04

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Local cohomology of FI-modules - continuation
Peter Webb, University of Minnesota
Abstract:

We complete the discussion of the local cohomology of FI-modules as the homology of a certain complex. This allows a number of deductions, including that the modules are finitely generated, the relationship with depth, bounds on the Nagpal number and regularity.

Tue Apr 03

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue Apr 03

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue Apr 03

Topology Seminar

2:30pm - Vincent Hall 2
HF_p is an equivariant Thom spectrum
Dylan Wilson, University of Chicago
Abstract:

Mahowald (and later many others) proved that HF_2 is a Thom spectrum for a bundle over the double loop space on the 3-sphere. This has had lots of applications, including (more recently) some nilpotence results for E_2-algebras and a calculation of THH of F_2. In this talk, we explain how to extend the result to the case of equivariant spectra over a cyclic group of prime power order. The case of HF_2 over C_2 is joint with Mark Behrens, and the general case is joint with Jeremy Hahn. If there's time, we'll discuss how this fits into a program of Hill-Hopkins-Ravenel for solving the 3-primary Kervaire invariant problem.

Tue Apr 03

Special Events and Seminars

2:30pm - Ford Hall 130
Iterative Methods for Computing Square Roots
Meir Jablon
Abstract:

We will be discussing Iterative methods for computing square roots. Methods from different historical time periods will be introduced. Also, fixed point algorithms will be discussed at length.

Tue Apr 03

Math Physics Seminar

1:25pm - Vincent Hall 301
An Observation on the Wigner-von Neumann Potential
Robert W. Numrich, Adjunct Professor of Computer Science City University of New York
Abstract:

Roughly speaking, scattering theory is based on the idea that wha goes in comes out. In the quantum mechanical case, this intuitive idea is correct when positive bound states in the continuous spectrum of the hamiltonian operator are avoided. In the classical case, it is correct when capture states in the equations of motion are avoided. For the so-called Wigner-von Neumann potential, a positive bound state exists for the quantum mechanical system and a capture state exists for the classical mechanical system. How are these anomalous states related? Are they more than just a mathematical curiosity?

Tue Apr 03

Climate Seminar

11:15am - 570 Vincent Hall
Climate Change Seminar
Richard McGehee
Tue Apr 03

Student Number Theory Seminar

11:15am - Vincent Hall 313
Student Number Theory Seminar

Tue Apr 03

Reading Seminar on Automorphic Forms

10:00am - Vincent Hall 364
Reading Seminar on Automorphic Forms

Mon Apr 02

Applied and Computational Math Colloquium

3:35pm - Lind Hall 215
Applied and Computational Math Colloquium

Mon Apr 02

Automorphic Forms and Number Theory

3:35pm - Vincent Hall 364
Information content of meromorphic continuation of operators
Paul Garrett
Mon Apr 02

Cockburn's Seminar

3:30pm - Ford Hall B10
Cockburn's Seminar

Mon Apr 02

Dynamical Systems

2:30pm - Vincent Hall 20
An energy balance model for Arctic sea ice
Kaitlin Hill, University of Minnesota
Abstract:

As Arctic sea ice extent decreases with increasing greenhouse gases, there is a growing interest in whether there could be a bifurcation associated with its loss, and whether there is significant hysteresis associated with that bifurcation. A challenge in answering this question is that the bifurcation behavior of certain Arctic energy balance models have been shown to be sensitive to how ice-albedo feedback is parameterized. We analyze an Arctic energy balance model in the limit as a smoothing parameter associated with ice-albedo feedback tends to zero, which introduces a discontinuity boundary to the dynamical systems model. Our analysis provides a case study where we use the system in this limit to guide the investigation of bifurcation behavior of the original albedo-smoothed system.

Mon Apr 02

Topology Seminar

1:30pm - Vincent Hall 209
Topology Seminar

Fri Mar 30

MCFAM Seminar

5:30pm - VinH 16
Quantitative Equity Strategies
2018 Modeling Workshop Team Presentation, U of MN MFM 2018 Modeling Workshop
Abstract:

A Student team from the 2018 Financial Mathematics Modeling Workshop will present their work:
Quantitative Equity Strategies; Industry Mentor, Jing Wang
Students in this team utilize an online platform (Quantopian) to implement quantitative equity strategies. Their work centers on the value strategies covered in the book “The Guru Investor”. Students take the audience through their involvement with fundamental data, programming in Python, back-testing of the quantitative strategies and utilizing a Risk Factor Model to analyze performance attribution”

Bio: https://www.linkedin.com/in/jwangatvtal/

Fri Mar 30

Combinatorics Seminar

3:35pm - Vincent Hall 570
Coxeter combinatorics of involutions with applications to geometry
Zachary Hamaker, University of Michigan
Abstract:

The combinatorics of Coxeter groups has been a rich area of study for many years, motivated by connections to the geometry of flag varieties and representation theory. Building on work of Richardson and Springer, a similar combinatorial theory has been developed for involutions in Coxeter groups. Their original motivation comes from the geometry of spherical varieties. We highlight several aspects of this theory, including the enumeration of reduced words for involutions and a natural characterization of the Chinese monoid. We conclude with some remarks on an apparent relationship between type A spherical varieties and the geometry of the orthogonal and Lagrangian Grassmannians. This is joint work with Brendan Pawlowski and Eric Marberg.

Fri Mar 30

Lie Theory Seminar

3:30pm - Vincent 364
Lie Theory Seminar

Fri Mar 30

Probability Seminar

2:30pm - Vincent Hall 311
Level sets of random functions in high dimensions: a thermodynamic approach.
Antonio Auffinger, Northwestern University
Abstract:

What does a random Morse function look like on a high-dimensional sphere? How many critical values of given index, or below a given level? What can be said about the topology of its level sets? In this talk, we will address these questions by looking at the low temperature limit of the corresponding Gibbs measure. In particular, we will provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass. These examples largely contrast with the early prediction that random functions could be classified into two different categories: one-step replica symmetry breaking (1RSB) or full-step replica symmetry breaking (FRSB). Based on a joint work with Qiang Zeng (Northwestern).

Fri Mar 30

Commutative Algebra Seminar

12:20pm - Vincent Hall 209
Commutative Algebra

Fri Mar 30

11:15am - Vincent Hall 113
MathCEP Seminar

Thu Mar 29

Special Events and Seminars

4:45pm - Vincent Hall 364
On certain special values of L-functions associated to elliptic curves and real quadratic fields
Chung Pang Mok, Purdue University
Abstract:

We study certain normalized special values of L-functions associated to elliptic curves and real quadratic fields. Under certain hypothesis, we are able to show that these are squares of rational numbers. This result can be regarded as instances of the rank zero case of the Birch and Swinnerton-dyer conjecture modulo squares, and is related to a theorem of Bertolini-Darmon on rationality of Stark-Heegner points over genus fields of real quadratic fields.

Thu Mar 29

Student Combinatorics Seminar

4:30pm - Vincent Hall 301
Student Combinatorics Seminar

Thu Mar 29

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Thu Mar 29

Differential Geometry and Symplectic Topology Seminar

1:35pm - Vincent Hall 570
Differential Geometry / Symplectic Topology Seminar

Thu Mar 29

Math Club Seminar

12:20pm - Vincent Hall 570
Math Club Seminar

Thu Mar 29

Student Number Theory Seminar

11:15am - Ford Hall 170
Student Number Theory Seminar

Thu Mar 29

Geometric Analysis Learning Seminar

10:00am - Vincent Hall 570
Geometric Analysis Learning Seminar

Wed Mar 28

PDE Seminar

3:35pm - Vincent Hall 570
The oblique derivative problem in Lipschitz domains
Hongjie Dong, Brown University
Abstract:

I will present a recent work about the W^2_p estimate for the oblique derivative problem for nondivergence form elliptic equations with VMO coefficients in Lipschitz domains with locally small Lipschitz constant. This improves an earlier result by G. Lieberman, where the domains are required to be in C^{1,a} for a > 1-1/p. An extension to fully nonlinear equations will also be discussed. Joint work with Zongyuan Li (Brown).

Wed Mar 28

Algebraic Geometry

3:35pm - Vincent Hall 301
Algebraic Geometry Seminar

Wed Mar 28

Algebraic Representation Theory Seminar

2:30pm - Vincent Hall 6
Local cohomology of FI-modules
Peter Webb, University of Minnesota
Abstract:

We define the local cohomology of FI-modules and show that it is computed as the homology of a certain complex. This allows a number of deductions, including that the modules are finitely generated, and the relationship with depth.

Tue Mar 27

Colloquium

3:30pm - Vincent Hall 16
Colloquium

Tue Mar 27

Colloquium

2:30pm - Vincent Hall 16
Colloquium

Tue Mar 27

Topology Seminar

2:30pm - Vincent Hall 2
Topological Hochschild Homology and Characteristics
Jonathan Campbell, Vanderbilt University
Abstract:

In this talk I'll review the def