动力系统与微分方程系列学术报告（三）：Dynamics for partially hyperbolic diffeomorphisms in C r -topology

讲座时间 Datetime: 

星期四, 2020/11/05 - 从 10:00 到 11:00

地点 Venue: 

腾讯会议 937 621 945

报告人 Speaker: 

史逸 副教授

单位 Affiliation: 

北京大学

报告摘要 Abstract: 

In this talk, we will introduce a series of C r -perturbation lemmas for certain partially hyperbolic diffeomorphisms and give their applications to the dynamics of these diffeomorphisms in C r -topology. We will show the C r -closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle. We will also discuss the C r -connecting lemma and C r -chain connecting lemma for partially hyperbolic diffeomorphisms with circle center fiber.