Orbit Equivalence of Geodesic flows of negative curvature

讲座题目：Orbit Equivalence of Geodesic flows of negative curvature

讲座时间 Datetime:2026年11月24日，星期二，14：00-17：00

地点 Venue:海琴二号A412-1

主持人 Host：Sergio Romana  副教授

报告人 Speaker: Jonatas Marinho Santos de Araujo

单位 Affiliation:National Institute of Pure and Applied Mathematics - IMPA

报告摘要 Abstract:

In this seminar, we present Katok’s Theorem on geodesic flows: Geodesic flows of negative curvature on compact manifolds with isomorphic fundamental groups are orbit equivalent. We will present the preliminares on the geometry of Hadamard manifolds, Morse’s Lemma, and finally how can we use it to prove the theorem.

报告人简介：

Jonatas Marinho Santos de Araujo is a PhD student at the National Institute of Pure and Applied Mathematics (IMPA), Brazil, working in the field of dynamical systems. He is currently a visiting scholar at the School of Mathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with theDynamical Systems Group.