Categorical entropy for K3 surfaces

主讲人 Speaker:Prof. Genki Ouchi (Nagoya University)
时间 Time:2022/05/17 Tue. 1:30-2:30pm (Beijing time)
地点 Venue:Zoom Meeting ID: 984 962 1397

Abstract:

Dimitrov-Haiden-Katzarkov-Kontsevich introduced the notion of categorical entropy for exact endofunctors of triangulated categories. In this talk, I would like to talk about categorical entropy for K3 surfaces. Using homological mirror symmetry, we construct a symplectic Torelli mapping class of positive categorical entropy on some symplectic K3 surface. This talk is based on the joint work with Kohei Kikuta.