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Birational models of the Hilbert scheme of points on $P^2$ are moduli of Bridgeland-stable complexes

Presented by: 
A Bertram [Utah]
Date: 
Tuesday 31st May 2011 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
The minimal model program applied to the Hilbert scheme of points on $P^2$ yields a series of birational models, followed by a Fano fibration. These birational models are themselves moduli spaces, but not (generally) of sheaves. Rather, they are moduli spaces of Bridgeland-stable objects in the derived category. Moreover, each of them may be identified with moduli of quiver representations of the quiver associated to $P^2$ and each wall-crossing is a GIT wall-crossing for a particular representation. This is joint work with Izzet Coskun and Daniele Arcara.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons