数学学院(珠海)五周年院庆系列学术报告(三):Periodic orbits, closing lemma for area-preserving diffeomorphisms

星期四, 2020/10/15 - 从 10:00 到 11:00

稿件来源:夏志宏 教授 发布人:网站管理员

讲座时间 Datetime: 

星期四, 2020/10/15 - 从 10:00 到 11:00

地点 Venue: 

腾讯会议 609 278 088

报告人 Speaker: 

夏志宏 教授

单位 Affiliation: 

西北大学(美国)

报告摘要 Abstract: 

Poincare conjectured that a typical area-preserving diffeomorphism on a compact surface has a dense set of periodic orbits. This is part of the so-called C^r closing lemma problem, and it remains open for over a hundred years. In this talk, we will discuss some remarkable recent progress on this problem, arising from a class of topological invariants from contact geometry and symplectic geometry.