报告题目： Periodic orbits on Hamiltonian energy surfaces

报告人：刘会 教授 （武汉大学）

报告时间：2022年1月14日 15:00-16:00

报告方式：腾讯会议线上         会议ID： 864-347-237

邀请人：丛洪滋 教授            联系方式：84708315-8137

报告摘要： It is a classical problem in conservative dynamics to investigate the existence of periodic motions of Hamiltonian systems restricted to energy levels. Since the global existence result of Rabinowitz and Weinstein in 1978, the problems about multiplicity and stability of closed characteristics on compact convex or star-shaped hypersurfaces in $\R^{2n}$ have been widely studied by many mathematicians. In this talk, I will review the history of the studies and main problems in this field ,and also report our recent progresses on the related topics.  

报告人简介：刘会，武汉大学数学与统计学院教授，博士生导师。研究领域为哈密顿动力系统，非线性分析与辛几何，主要研究方向为哈密顿系统与辛几何中周期轨道的多重性与稳定性等相关问题。已在Adv. Math, J.Funct.Anal., Calc. Var.PDEs, J. Diff. Equa.等国际期刊上发表论文20余篇，2020年获国家基金委优秀青年基金资助。