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.
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