Surfaces on Cubic Fourfolds via Stability Conditions

Explore the geometric applications of stability conditions on K3 categories associated with cubic fourfolds in this one-hour lecture by Alex Perry from the University of Michigan. Delve into the construction of special surfaces on cubic fourfolds and their relations to the rationality problem, based on joint work with Arend Bayer, Aaron Bertram, and Emanuele Macri. Learn about Kuznetsov's definition of K3 categories as semiorthogonal components of derived categories and gain insights into this advanced topic in algebraic geometry.