报告题目：School Colloquium——Topological classification of Anosov maps on torus

报告人：Yi Shi (Sichuan University)

报告时间：2023-04-14  15:00-16:00

报告地点：Room 1114, Sciences Building No. 1

报告摘要：

In this talk, we first give a review of Anosov diffeomorphisms on torus. Then we give a complete topological classification of non-invertible Anosov maps on torus. We show that two non-invertible Anosov maps on torus are topologically conjugate if and only if their corresponding periodic points have the same Lyapunov exponents on the stable bundles. As a corollary, if two non-invertible Anosov maps on torus are topologically conjugate, then the conjugacy is smooth along the stable foliation. 


个人简介：

史逸，四川大学特聘研究员，主要研究方向为微分动力系统。2014年博士毕业于北京大学和法国勃艮第大学，导师为文兰院士和Ch. Bonatti教授。史逸主要研究微分动力系统中的部分双曲系统和星号向量场的动力学性质，已在Adv. Math.，Comment. Math. Helv.，Trans. AMS等期刊发表多篇论文，主持国家重点研发计划青年科学家项目。