报告人: Jerome Buzzi(巴黎第十一大学，CNRS研究员)

时间：2021年12月7日 15:00-16:30  

腾讯会议：会议ID：289-568-072

摘要：Lecture #9: Finiteness theorem

Abstract: We will finish the proof of the theorem by showing that, in the setting we have established, any topological crossing yields a transverse intersection. In this way we will obtain homoclinic relations between our measures with large entropy, a contradiction that proves the finiteness.

We will conclude this lecture by showing how the same ideas yield the upper semicontinuity of the number of ergodic mme's.

[Final lecture #10 will relate topological and measured dynamics, at the level of homoclinic classes and transitivity and mixing and discuss some open problems]

邀请人：杨大伟