报告题目：Entropy rigidity for 3D Anosov flows

报 告 人：杨云 助理教授 Virginia Polytechnic Institute and State University

报告时间：2022年06月09日 星期四 10:00-11:00

报告地点：腾讯会议 ID：588-555-750

点击链接入会，或添加至会议列表：https://meeting.tencent.com/dm/KwtbsgW4Fr15

校内联系人：王式柔 shirou@jlu.edu.cn

报告摘要：Anosov systems are among the most well-understood dynamical sys- tems. Special among them are the algebraic systems. In the diffeomorphism case, these are automorphisms of tori and nilmanifolds. In the flow case, the algebraic models are suspensions of such diffeomorphisms and geodesic flows on negatively curved rank one symmetric spaces. In this talk, we will show that given an integer k ≥ 5, and a Ck Anosov flow Φ on some compact connected 3-manifold preserving a smooth volume, the measure of maximal entropy is the volume measure if and only if Φ is Ck−ε-conjugate to an algebraic flow, for ε > 0 arbitrarily small. This is a joint work with Jacopo De Simoi, Martin Leguil and Kurt Vinhage.

报告人简介：杨云，助理教授，Virginia Polytechnic Institute and State University。 2016年获北京大学博士学位，2016-2019 纽约城市大学访问助理教授。研究兴趣主要围绕动力系统与遍历理论。