Symplectic automorphism groups of cubic fourfold and K3 categories

par Genki Ouchi

vendredi 21 déc. 2018, 10:30 → 11:30 Europe/Paris

112 (ICJ)

Gaberdiel, Hohenegger and Volpato (GHV) characterized automorphism groups of K3 sigma models in terms of Mukai lattice and Leech lattice. Huybrechts gave a geometric interpretation of GHV Theorem in terms of derived categories of K3 surfaces and Bridgeland stability conditions on them. In this talk, I would like to characterize symplectic automorphism groups of cubic fourfolds as automorphism groups of certain K3 sigma models using Bridgeland stability conditions on Kuznetsov’s K3 categories due to Bayer, Lahoz, Macri and Stellari.