Back to Commutative Algebra Seminar: Spring 2016
Commutative Algebra Seminar
Date: Friday, May 6, 2016
Time: 3:10PM - 4:00PM
Location: LCB 222
Claudiu Raicu
University of Notre Dame
Title |
The syzygies of some thickenings of determinantal varieties |
Abstract |
The space of m x n matrices admits a natural action of the group GL_m x GL_n via row and column operations on the matrix entries. The invariant closed subsets are the determinantal varieties defined by the (reduced) ideals of minors of the generic matrix. The minimal free resolutions of these ideals are well-understood by work of Lascoux and others. There are however many more invariant ideals which are non-reduced, and they were classified by De Concini, Eisenbud, and Procesi in the 80s. I will explain how to determine the syzygies of a large class of these ideals by employing a surprising connection with the representation theory of general linear Lie superalgebras. This is joint work with Jerzy Weyman. |
Commutative Algebra