星光直播 星光直播 报告[2026]076号

（高水平大学建设系列报告1335号）

报告题目：Equilibrium states for non-uniformly hyperbolic geodesic flows

报告人：陈栋 助理教授（印第安纳大学）

报告时间：2026年7月3日 14：30—15：30

报告地点：星光直播 粤海校区汇文楼1420会议室

报告摘要：The geodesic flow over a closed negatively curved manifold is Anosov, thus any Hölder potentials have unique equilibrium states. However, it is much less known for non-uniformly hyperbolic geodesic flows. Knieper proved the uniqueness of the measure of maximal entropy for the geodesic flow on compact rank 1 non-positively curved manifolds, and it was extended by Burns, Climenhaga, Fisher, and Thompson to the uniqueness of the equilibrium states for a large class of non-zero potentials with pressure gap. In this talk, I will discuss related results for geodesic flows without focal points, and some recent results regarding potentials with pressure gap and others. This work is joint with N. Kao and K. Park.

报告人简介： 陈栋，2017年博士毕业于宾夕法尼亚州立大学，之后任教于俄亥俄州立大学及宾夕法尼亚州立大学。现任印第安纳大学Indianapolis助理教授。主要从事几何与动力系统交叉领域的研究工作，在Adv. Math., Transaction of AMS, Commun. Contemp. Math., Journal of Modern Dynamics, Journal de l'École polytechnique - Mathématiques, Nonlinearity 等星光直播 期刊上发表论文多篇。

邀请人：周泽

星光直播

2026年7月2日