School Colloquium—— Birational geometry of moduli spaces of sheaves on the projective plane via wall-crossing
主 题: School Colloquium—— Birational geometry of moduli spaces of sheaves on the projective plane via wall-crossing
报告人: Dr. Xiaolei Zhao (Northeastern University, US)
时 间: 2018-01-03 15:00-16:00
地 点: Room 1114, Sciences Building No. 1
Abstract: 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 joint work with Chunyi Li.
