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Texas A&M University
Mathematics

Student/Postdoc Working Geometry Seminar

Spring 2023

 

Date:January 11, 2023
Time:2:00pm
Location:BLOC 624
Speaker:JM Landsberg, TAMU
Title:Limits of saturated ideals and why computer scientists should care about them

Date:January 20, 2023
Time:1:00pm
Location:BLOC 628
Speaker:Tim Seynnaeve
Title:Signature tensors and their representation theory
Abstract:In stochastic analysis, the k-th signature of a path is a k-way tensor which encodes information about the path in a compact form. When the path varies, the signatures parametrize a subvariety of tensor space, giving a connection to algebraic geometry. In this talk I will present some recent results on varieties on signature tensors, and report on some work in progress (joint with Carlos Amendola, Francesco Galuppi, Angel Rios, and Pierpaola Santarsiero), where we look at these varieties through the lens of representation theory.

Date:February 17, 2023
Time:1:00pm
Location:BLOC 628
Speaker: Liena Colarte Gómez, IPAM (Warsaw)
Title:Hyperplane arrangements and their module of logarithmic derivations
Abstract:A hyperplane arrangement A in the projective space is a finite collection of hyperplanes. To this variety, we attach a submodule Der(A) of the classical module of derivations, called the module of logarithmic derivations of A. In this talk, we approach the problem of understanding the algebraic structure of Der(A) and its freeness towards the so called Terao's conjecture.

Date:February 24, 2023
Time:1:00pm
Location:BLOC 628
Speaker:Derek Wu, TAMU
Title:New border rank lower bounds for GL(V) invariant tensors

Date:March 3, 2023
Time:1:00pm
Location:BLOC 628
Speaker:Derek Wu, TAMU
Title: New border rank lower bounds for GL(V) invariant tensors II

Date:March 10, 2023
Time:1:00pm
Location:BLOC 628
Speaker:H. Huang, Auburn
Title:Syzygies of subpermanents

Date:March 24, 2023
Time:1:00pm
Location:BLOC 628
Speaker:Arpan Pal, TAMU
Title:Toric Structure in Statistical Models through Symmetry Lie Algebra