Date: 7월 16일 금요일 13:30~ 16:30

Place: 129동 301호

Speaker: 김종명 (IBS-CGP)

Title: Categorical entropy and symplectic geometry

Abstract:

A symplectic manifold together with a symplectomorphism form a discrete dynamical system. To study the complexity of such a dynamical system, one can use various kinds of entropies: topological entropy, Floer-theoretic entropy, categorical entropy and so on. In this talk, I will focus on the categorical entropy and give some examples from symplectic geometry. This talk consists of the following four parts:

1. From topological entropy to categorical entropy

2. Entropy of compositions of spherical twists

3. Entropy via spherical functors

4. Towards a categorical Gromov--Yomdin theorem

Part 3 is based on arXiv:2102.08590 and Parts 2, 4 are based on joint works in progress with Federico Barbacovi.