Speaker:	Genki Ouchi (Kavli IPMU)
Title:	Categorical dynamical systems on derived categories of K3 surfaces
Date (JST):	Thu, Jul 13, 2017, 15:30 - 17:00
Place:	Seminar Room A
Abstract:	In this talk, I would like to talk about autoequivalences of derived categories of K3 surfaces in the context of dynamical systems. Dimitrov, Haiden, Katzarkov and Kontsevich introduced the notion of categorical entropy of endofunctors of triangulated categories. It measures dynamical complexity of endofunctors. I would like to discuss the following topics. ▪Gromov-Yomdin type formula for autoequivalences of K3 surfaces ▪Construct automorphisms of moduli spaces of stable objects on K3 surfaces from autoequivalences and compare their topological and categorical entropy.

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