Geometric Representation Theory Seminar

Monday, December 11, 2017 at 4:30pm to 5:30pm

2-449

Xiaolei Zhao (Northeastern)

Birational geometry of moduli spaces of sheaves on the projective plane via wall-crossing

In this talk, I will explain how to use Bridgeland stability to study the birational geometry of moduli spaces of sheaves on the projective plane. I will show that wall-crossing naturally provides smooth projective birational models of these moduli spaces, and induces the MMP for them. Moreover a numerical criterion of potential walls being actual walls will be given, and used to compute several cones of these moduli spaces. If time permits, I will also discuss a generalization to non-commutative projective planes, and an application to the study of linear series on these moduli. This talk is based on a series of joint works with Chunyi Li.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Tags

harmonjo, geo_rep_sem

Website

http://math.mit.edu/seminars/geometri...

Department
Department of Mathematics
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