News & Events
Speaker: Liu Hui, professor, School of Mathematics and Statistics, Wuhan University
Date: October 17, 2023
Location: Tencent Meeting 661-348-347
Sponsor: School of Mathematics, Shandong University
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.
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