报告人：吴伟胜副教授

中国农业大学

题目：Some ergodic properties of geodesic flows on rank one manifolds without focal points

时间：2018年5月10日下午16:00

地点：海韵实验楼108

摘要：Manifolds without focal points are natural generalizations of those of nonpositive curvature. The geodesic flows on rank one manifolds without focal points are classical examples of non-uniformly hyperbolic dynamical systems. The uniqueness of the measure of maximal entropy (MME) for geodesic flows on rank one manifolds of nonpositive curvature was conjectured by A. Katok in 1985 and proved by G. Knieper in 1998. We present how Knieper’s construction of MME via Patterson-Sullivan densities can be extended to the no focal points case. We also discuss the ergodicity of geodesic flows on rank one manifolds without focal points with respect to the Liouville measure..

报告人简介：吴伟胜，中国农业大学应用数学系副教授。2008年本科毕业于中国科学技术大学，2014年博士毕业于美国宾夕法尼亚州立大学，2014-2016年在北京大学做博士后。研究方向为动力系统与遍历论，多篇论文分别发表在Adv. Math.，Trans. Amer. Math. Soc.，Ergodic Theory Dynam. Systems等学术期刊上。

联系人：朱玉峻教授

欢迎广大师生参加！