Record: YesLevel: GraduateLanguage: ChinesePrerequisiteAlgebraic TopologyAbstractTopological data analysis is a new-born research area that explores topological approaches in data science, where persistent homology has been proved as an effective mathematical tool in data analytics with various successful applications. This course will discuss the mathematical foundations of (higher) topologica...
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...