## Seminar Categories

- Colloquium (2)

## Current Series

Wed Sep 05 |
## Commutative Algebra Seminar10:10am - Vincent Hall 313Using mixed Gauss--Manin systems to project, restrict, and dualize $A$-hypergeometric systems Avi Steiner, Purdue 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 $F$. |

Thu Sep 20 |
## Commutative Algebra Seminar1:25pm - Ford Hall 170Random Monomial Ideals Jay Yang, University of Minnesota 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 Oct 18 |
## Commutative Algebra Seminar1:25pm - Ford Hall 170Computations in Local Rings using Macaulay2 Mahrud Sayrafi, University of Minnesota 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 Nov 29 |
## Commutative Algebra Seminar1:25pm - Ford Hall 170On invariant theory for "coincidental" reflection groups Victor Reiner, University of Minnesota (joint work with A. Shepler and E. Sommers) |

Thu Feb 28 |
## Commutative Algebra Seminar1:25pm - Vincent Hall 301Virtual Resolutions of Monomial Ideals Jay Yang, University of Minnesota Virtual resolutions as defined by Berkesch, Erman, and Smith, |

Thu Mar 14 |
## Commutative Algebra Seminar1:25pm - Vincent Hall 301Towards Free Resolutions Over Scrolls Aleksandra Sobieska-Snyder, Texas A&M Free resolutions over the polynomial ring have a storied and active |

Thu Mar 28 |
## Commutative Algebra Seminar1:25pm - Vincent Hall 301Bernstein-Sato polynomials in positive characteristic and Hodge theory Thomas Bitoun, University of Toronto Bernstein-Sato polynomials are fundamental in D-module theory. For |

Thu Apr 04 |
## Commutative Algebra Seminar1:25pm - Vincent Hall 301An Analogue of the Hartshorne-Polini Theorem in Positive Characteristic Zhang Wenliang, University of Illinois at Chicago Recently, Hartshorne and Polini proved a theorem to characterize the |

Thu Apr 11 |
## Commutative Algebra Seminar1:25pm - Vincent Hall 301Semi-Ample Asymptotic Syzygies Juliette Bruce 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. |