中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 白少云 博士（Simons Center for Geometry and Physics）

题  目：Arnold conjecture and advances in Floer theory

时  间：2023.04.28（星期五），09:00-10:00

地  点：Zoom会议：862 1456 2573   密码：0428

摘  要：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.