Graduate Student Colloquium

Mean action, rotation number and Calabi invariant of area-preseving annulus diffeomorphisms

  • 演讲者:曲华迪(南科大)

  • 时间:2023-04-20 10:30-11:30

  • 地点:理学院大楼M2001

Abstract

We are interested in fine structures of periodic orbits of area-preserving diffeomorphisms on Annulus. By considering the open book decomposition of a three dimensional manifold, we can relate the dynamics of certain flows on the manifold and the dynamics of area-preserving diffeomorphisms of surfaces. Recently, Hutchings and Weiler using information of Reeb flows on 3-dimensional contact manifolds, coming from ECH theory, obtain results about area-preserving diffeomorphisms of surfaces. We want to give further analysis to this results and obtain a more intrinsic result which contains all the situation.