AbstractEvery symplectic automorphism on a symplectic manifold induces an auto-equivalence on the (derived) Fukaya category, which gives rise to a categorical dynamical system. In this talk, I will first give a brief review of various Fukaya categories of symplectic manifolds with boundaries. Then, for a given symplectic automorphism, I will discuss how the categorical entropies of auto-equival...
AbstractWe discuss some variants of Mukai’s conjecture for the characterization of projective spaces. We discuss the relation of the complexity of generalized pairs and such kind conjectures. I will talk based on the joint work with Joaquin Moraga.SpeakerYoshinori Gongyo is an Associate Professor of Graduate School of Mathematical Sciences, the University of Tokyo. Research interests: Algebrai...