10-16【娄晗】On the Hofer-Zehnder conjecture for semipositive symplectic manifolds

发布时间:2025-09-18来源:几何与物理研究中心中文网页浏览次数:10

报告人:娄晗(北京大学北京国际数学研究中心)

时间:2025年10月16日10:00-11:00  

地点:物质科研楼C1124


 

Arnold conjecture says that the number of 1-periodic orbits of a Hamiltonian diffeomorphism is greater than or equal to the dimension of the Hamiltonian Floer homology. In 1994, Hofer and Zehnder conjectured that there are infinitely many periodic orbits if the equality doesn't hold. In this talk, I will show that the Hofer-Zehnder conjecture is true for semipositive symplectic manifolds with semisimple quantum homology. This is a joint work with Marcelo Atallah.