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Title:
Birational geometry of moduli spaces of sheaves on the projective plane via wall-crossing
Speaker:
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. This is based on a recent joint work with Chunyi Li.
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