报告人:甘少波 （北京大学）

日  期:2019年4月1日

时  间：上午10:30

地  点:理科楼 LA106

摘  要: The Cr -closing lemma is one well-known problem in the theory of dynamical systems. The problem is to perturb the original dynamical system so as to obtain a Cr -close system that has a periodic orbit passing through a given point. And this point is called Cr -closable. Steve Smale listed the Cr -closing lemma as one of mathematical problems for this century. In this talk, we prove the Cr -closing lemma (r = 2,3,…) for partially hyperbolic diffeomorphisms on 3-manifolds: every non-wandering point of these diffeomorphisms is Cr -closable. Moreover, we will show that Cr -generic conservative partially hyperbolic diffeomorphisms on 3-manifolds have dense periodic points. This is a joint work with Shi Yi.

报告人简介:甘少波，北京大学数学科学学院教授，国家杰出青年基金获得者。研究领域为微分动力系统。详情见个人主页http://www.math.pku.edu.cn/teachers/gansb/

公司联系人:周云华

欢迎广大师生积极参与！