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Dipartimento di Matematica ''F. Casorati''

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On the geometry of contractions of the Moduli Space of sheaves of a K3 surface

Diletta Martinelli (Edinburgh)

Sala Riunioni al piano C - Tuesday, March 27, 2018 h.16:30


Abstract. I will describe how recent advances have made possible to study the birational geometry of hyperkaehler varieties of K3-type using the machinery of wall-crossing and stability conditions on derived categories as developed by Tom Bridgeland. In particular Bayer and Macrì relate birational transformations of the moduli space M of sheaves of a K3 surface X to wall-crossing in the space of Bridgeland stability conditions Stab(X).
I will explain how it is possible to refine their analysis to give a precise description of the geometry of the exceptional locus of any birational contractions of M.

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