报告人: Jerome Buzzi(巴黎第十一大学，CNRS研究员)

时间：2021年9月21日 21:30-23:00  

腾讯会议：会议ID：195 320 959

摘要：In this introductory lecture, I will present recent results about the dynamics of smooth surface dynamics in positive entropy. In joint works with Crovisier and Sarig, we have built a semi-uniform hyperbolic theory, i.e., a generalization of many properties of uniformly hyperbolic dynamics to this non-uniform setting in restriction to ergodic measures with positive entropy. I will then focus on our proof of Newhouse's conjecture: the existence of a finite number of ergodic invariant probability measures maximizing the entropy for $C^\infty$ smooth diffeomorphisms of compact surfaces with positive topological entropy. I will explain the structure of the proof which I will explain in the following lectures.

邀请人：杨大伟