Matt Satriano : Stacky Resolutions of Singular Schemes

Posted by Ramin Takloo-Bighash , part of the Number Theory Seminar.

At

Oct. 28, 2009, 3:30 p.m.

In

SEO 427

Abstract

Given a singular scheme X, one way to study it is through a resolution of singularities, which is oftentimes hard to control. In certain cases, however, one can construct a smooth stack which well-approximates X and can serve as a replacement for the resolution of singularities. In this talk, I describe two cases where such a stack exists and give applications to Invariant Theory, Hodge Theory, and toric Artin stacks.