报告题目：Quantitative Characterizations in Hamiltonian Dynamics

报告时间：2023-05-10  10:30 - 11:30

报告人：张俊 副教授  中国科学技术大学

报告地点：理学院东北楼四楼报告厅

Abstract: Persistence module theory is a newly-developed theory from applied algebraic topology. It enriches the classical homological theory by allowing homologically invisible generators (or called torsions) to be considered. This leads to various surprising applications in topology, analysis, and dynamics. In this talk, we will review the main results of persistence module theory, and elaborate on several recent applications in Hamiltonian dynamics and classical differential geometry. In particular, we will see how the information from torsions in Floer homology and loop space homology leads to novel results on closed orbits in the Hamiltonian sense and in the geodesics sense.