University of Minnesota
School of Mathematics
School of Mathematics          
    math.umn.edu / ~seminar / 2011_November_27

Week of 28 November, 2011 Mathematics Seminars

Seminars for the week of 28 November, 2011

Colloquium

Dec. 1, 2011, 3:35 p.m., in vinH 16

Professor Erhan Bayraktar
of University of Michigan
will speak on
Stochastic Perron's method and verification without smoothness using viscosity comparison: the linear case

Abstract: We introduce a probabilistic version of the classical Perron's method to construct viscosity solutions to linear parabolic equations associated to stochastic differential equations. Using this method, we construct easily two viscosity (sub and super) solutions that squeeze in between the expected payoff. If a comparison result holds true, then there exists a unique viscosity solution which is a martingale along the solutions of the stochastic differential equation. The unique viscosity solution is actually equal to the expected payoff. This amounts to a verification result (Ito's Lemma) for non-smooth viscosity solutions of the linear parabolic equation. This is the first step in a larger program to prove verification for viscosity solutions and the Dynamic Programming Principle for stochastic control problems and games.

Monday, 28 November 2011

Junior Colloquium at 12:20 p.m. in VinH 16
Patrick Campbell will speak on "Extracurricular excursions in computer vision"
Algebraic Representation Theory at 1:25 p.m. in VinH 570
Professor Peter Webb will speak on "Exchange pairs in cluster categories"

Tuesday, 29 November 2011

Commutative Algebra Seminar at 10 a.m. in VinH 203B
Emily Witt will speak on "Local cohomology modules - a continuation"
IMA Postdoc Seminar at 11:15 a.m. in Keller Hall 3-180
Teng Zhang will speak on "A novel M-estimator for robust PCA"
Math Physics: at 12:20 p.m. in VinH 570
Tryphon Georgiou will speak on "Title: to be announced"

Wednesday, 30 November 2011

Climate Change Seminar at 11:15 a.m. in VinH 570
Jim Cotner of Department of Ecology, Evolution and Behavior will speak on "Carbon burial in wetlands"
Algebraic Representation Theory: at 1:25 p.m. in VinH 570
Professor Gregg Musiker will speak on "The cluster multiplication formula"
Student Topology Seminar: at 2:30 p.m. in VinH 570
... Will not meet this week
PDE Seminar at 3:35 p.m. in VinH 206
Professor Luca Capogna of University of Arkansas will speak on "An extremal problem in quasiconformal mappings from a PDE point of view"
Automorphic forms and number theory at 3:35 p.m. in vinH 364
Professor Paul Garrett will speak on "Review of spectral theory for GL(3) -"

Thursday, 1 December 2011

Commutative Algebra Seminar at 10 a.m. in VinH 203B
Daniel Hernandez will speak on "Singularities of hypersurfaces - a continuation"
Colloquium: at 3:35 p.m. in vinH 16
Professor Erhan Bayraktar of University of Michigan will speak on "Stochastic Perron's method and verification without smoothness using viscosity comparison: the linear case"

Friday, 2 December 2011

Industrial Problems Seminar at 2:30 p.m. in Lind Hall 305
Brian J. Stanklewicz of 3M will speak on "Title: to be announced"
Combinatorics Seminar: at 3:35 p.m. in VinH 570
Professor David Wilson of Microsoft Research will speak on "Spanning trees of graphs on surfaces adn the intensity of loop-erased random walk on Z^2"
Financial Mathematics Seminar: at 5:30 p.m. in VinH 16
Kevin Leder of Assistant Professor of Industrial & Systems Engineering will speak on "Computational strategies for estimating rare event probabilities"