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Home » BGMS Seminar: On the geometry of contractions of the Moduli Space of sheaves of a K3 surface

Seminar

BGMS Seminar: On the geometry of contractions of the Moduli Space of sheaves of a K3 surface February 25, 2019 (01:30 PM PST - 02:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Diletta Martinelli (University of Edinburgh)
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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 contraction of M.

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