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

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Moduli Spaces

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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