University of Cambridge > > Algebraic Geometry Seminar > Birational geometry of moduli of sheaves on K3s via wall-crossing

Birational geometry of moduli of sheaves on K3s via wall-crossing

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  • UserArend Bayer (Edinburgh)
  • ClockWednesday 24 April 2013, 14:15-15:15
  • HouseMR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

I will explain joint work with Emanuele Macrì, in which we systematically relate wall-crossing for Bridgeland stability conditions to the birational geometry of moduli spaces of stable sheaves on K3 surfaces. Our results include a description of the nef cone in terms of the lattice of the K3 surface, and a proof of a well-known conjecture on the existence of Lagrangian fibrations. These results are new even in the case of the Hilbert scheme.

This talk is part of the Algebraic Geometry Seminar series.

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