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Department of Mathematics,
University of California San Diego

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Southern California Algebraic Geometry Seminar

Izzet Coskun

UIC

The birational geometry of the Hilbert schemes of points on $P^2$ and Bridgeland stability

Abstract:

In this talk, I will describe joint work with Daniele Arcara, Aaron Bertram and Jack Huizenga on running the Minimal Model Program (MMP) for the Hilbert scheme of points on $P^2$. We study the stable base locus decomposition of the effective cone of the Hilbert scheme. We find a correspondence between the decomposition of the effective cone into the Mori chambers and the decomposition of the stability manifold into Bridgeland chambers.

Host: Dragos Oprea

April 13, 2013

11:30 AM

AP&M 6402

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