Tom Nevins : A vanishing theorem for D-modules

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

April 8, 2015, 4 p.m.

In

SEO 427

Abstract

A D-module is a quasicoherent sheaf equipped with a flat connection. The existence of a flat connection strongly constrains a quasicoherent sheaf, thus providing some means of control over its space of global sections. I will explain a vanishing theorem for (twisted) D-modules in an equivariant setting, and sketch applications to geometric representation theory and topology.