中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人： 刘会 （武汉大学）
题 目：Proofs of two or infinity conjectures for Reeb orbits and closed geodesics
时 间：2023.11.23（星期四）14:00-15:00
地 点：腾讯会议：646-947-901
摘 要：In this talk, we give a proof 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 of Bangert-Long 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 .
