報告題目：Entropy rigidity for 3D Anosov flows
報 告 人：楊雲 助理教授 Virginia Polytechnic Institute and State University
報告時間：2022年06月09日 星期四 10:00-11:00
報告地點：騰訊會議 ID：588-555-750
點擊鍊接入會，或添加至會議列表：https://meeting.tencent.com/dm/KwtbsgW4Fr15
校内聯系人：王式柔 shirou@jlu.edu.cn
報告摘要：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.
報告人簡介：楊雲，助理教授，Virginia Polytechnic Institute and State University。 2016年獲北京大學博士學位，2016-2019 紐約城市大學訪問助理教授。研究興趣主要圍繞動力系統與遍曆理論。
