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
发布日期:2020-10-15
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.