Speaker: Liu Hui, professor, School of Mathematics and Statistics, Wuhan University

Date: October 17, 2023

Time: 15:00-16:00

Location: Tencent Meeting 661-348-347

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we give proof of a famous conjecture of Hofer-Wysocki-Zehnder published in 2003 asserting that a smooth and autonomous Hamiltonian flow on R⁴ has either two or infinitely many simple periodic orbits on any regular compact connected energy level that is transverse to the radial vector field. As its corollary. We also prove a longstanding conjecture that every irreversible Finsler metric on S² has either two or infinitely many prime closed geodesics. This talk is based on my joint work with Cristofaro-Gardiner, Hryniewicz and Hutchings.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/184273.htm