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Some results of Hamiltonian homeomorphism on aspherical closed surfaces.
时间  Datetime
2017-03-16 14:00 — 15:00
地点  Venue
Middle Lecture Room, Math Building
报告人  Speaker
Jian Wang
单位  Affiliation
Max Planck Institute for Mathematics in the Sciences
邀请人  Host
Miaomiao Zhu
报告摘要  Abstract
On closed symplectically aspherical manifolds, Schwarz proved a
classical result that the action function of a nontrivial Hamiltonian
diffeomorphism is not constant by using Floer homology. In this talk,
we will show how to generalize Schwarz`s theorem to the $C^0$-case
on closed aspherical surfaces. As application, we prove that the
contractible fixed points set (and consequently the fixed points set)
of a nontrivial Hamiltonian homeomorphism is not connected.