Chain-level persistence and its applications in symplectic geometry
组织者
演讲者
Jun Zhang
时间
2024年12月26日 13:30 至 15:00
地点
A3-2-303
线上
Zoom 637 734 0280
(BIMSA)
摘要
In this talk, I will present a chain-level analogue of the persistence module, called a filtered chain complex, together with its parallel theory on barcodes and stability phenomenon. Next, I will elaborate on an infinite-dimensional Morse theory naturally born in both symplectic and contact geometry, called the Hamiltonian Floer homology. The main part of this talk will be several examples (and theorems) that illustrate how chain-level persistence can be used to solve quantitative questions in symplectic geometry and symplectic dynamics. This is mostly a survey talk based on my related results in recent years.