Laura Matusevich : Quotients of torus-equivariant D-modules

Posted by , part of the Algebraic Geometry Seminar.

At

Nov. 18, 2010, 4 p.m.

In

SEO 636

Abstract

We consider torus equivariant ideals in the Weyl algebra, and construct their quotients. The goal is to see what D-module theoretic properties (holonomicity, reducibility, etc) pass to the quotient. Our main example is the case of hypergeometric D-modules: this point of view allows us to prove theorems about classical hypergeometric differential equations using known results about their equivariant versions. This is joint work with Christine Berkesch.