Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	白少云博士,Simons Center for Geometry and Physics
Inviter:
Title:	Arnold conjecture and advances in Floer theory
Language:	Chinese
Time & Venue:	2023.04.28 09:00-10:00 Zoom会议：862 1456 2573 密码：0428
Abstract:	In 1960s, Arnold conjectured that the number of fixed points of a Hamiltonian diffeomorphism of a symplectic manifold should be (much) greater than its counterpart for a general diffeomorphism. This conjecture has been a constant driven force for major developments in modern symplectic topology, notably various forms of Floer theory. In this lecture, after reviewing previous landmark results, I will present our state-of-art understanding of the Arnold conjecture and the corresponding new ideas in Floer theory. This is joint work with Guangbo Xu.