On the finiteness of maximizing measure for $C^infty$ surface diffeomorphisms
报告人： Sylvain Crovisier（巴黎南大学，CNRS研究员，曾经在Annals of Math.，Invent. Math. 等顶级数学期刊发表论文若干篇，2014年被邀请至数学家大会作45分钟的分组报告）
题目：On the finiteness of maximizing measure for $C^infty$ surface diffeomorphisms（I）
报告时间：2015.12.01 09:00-09:50
报告地点：维格堂319
摘要：In this talk, I will introduce the history of this theorem. It was known that for $C^infty$ maps, a maximizing measure exists since it is asymptotically entropy expansive. I will explain all the definitions and give my main theorem. This is a joint work with J. Buzzi and O. Sarig.
报告人： Sylvain Crovisier（巴黎南大学，CNRS研究员，曾经在Annals of Math.，Invent. Math. 等顶级数学期刊发表论文若干篇，2014年被邀请至数学家大会作45分钟的分组报告）
题目：On the finiteness of maximizing measure for $C^infty$ surface diffeomorphisms（II）
报告时间：2015.12.01 10:00-10:50
报告地点：维格堂319
摘要：In this talk, I will mainly introduce the notion of homoclinic measure class, and a local version of Sarig‘s theorem in any ergodic homoclinic measure class. The dynamical Sard theorem will also be explained.
报告人： Sylvain Crovisier（巴黎南大学，CNRS研究员，曾经在Annals of Math.，Invent. Math. 等顶级数学期刊发表论文若干篇，2014年被邀请至数学家大会作45分钟的分组报告）
题目：On the finiteness of maximizing measure for $C^infty$ surface diffeomorphisms（III）
报告时间：2015.12.01 11:00-11:50
报告地点：维格堂319
摘要：In this talk, I will discuss Yomdin-Newhouse-Burget‘s estimation on the tail entropy and explain how to control entropies at infinite. Then, I will revisit the global strategy of the main theorem.