Seminar series
Date
Tue, 23 Oct 2012
Time
15:45 -
16:45
Location
SR1
Speaker
Arend Bayer
Organisation
Edinburgh
I will explain recent results with Emanuele Macrì, in which we systematically study the birational geometry of moduli of sheaves on K3's via wall-crossing for
Bridgeland stability conditions. In particular, we obtain descriptions of their nef cones via the Mukai lattice of the K3, their moveable cones, their divisorial contractions, and obtain counter-examples to various conjectures in the literature. We also give a proof of the Lagrangian fibration conjecture (due to
Hassett-Tschinkel/Huybrechts/Sawon) via wall-crossing.