Birational models of the Hilbert scheme of points on P2 are moduli of Bridgeland-stable complexes

Duration: 1 hour 6 mins 45 secs

About this item

Description:	Bertram, A (Utah) Tuesday 31 May 2011, 11:30-12:30

Created:

2011-06-03 16:36

Collection:

Moduli Spaces

Publisher:

Isaac Newton Institute

Bertram, A

Language:

eng (English)

Credits:

Author:	Bertram, A
Director:	Steve Greenham


Abstract:	The minimal model program applied to the Hilbert scheme of points on P2 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 P2 and each wall-crossing is a GIT wall-crossing for a particular representation. This is joint work with Izzet Coskun and Daniele Arcara.

Abstract:

The minimal model program applied to the Hilbert scheme of points on P2 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 P2 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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