报告人：史逸副教授

       北京大学

报告题目：C^r-Closing lemma for 3-dimensional partially hyperbolic diffeomorphisms

报告时间：2018年12月06日下午16:30

报告地点：行政楼B313

摘要：The C^r 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 C^r -close system that has a periodic orbit passing through a given point. And this point is called C^r -closable. Smale listed the C^r -closing lemma as one of mathematical problems for this century. In this talk, we prove the C^r (r=2,3,...,\infty) closing lemma for partially hyperbolic diffeomorphisms on 3-manifolds: every non-wandering point of these diffeomorphisms is C^r -closable. Moreover, we will show that C^r -generic conservative partially hyperbolic diffeomorphisms on 3-manifolds have dense periodic points. （This is a joint work with Shaobo Gan.）.

报告人简介: 史逸，北京大学数学科学学院副教授。2014年毕业于北京大学与法国Universite de Bourgogne。2014-2015年在巴西理论与应用数学研究所(IMPA)做博士后。主要从事微分动力系统方向的研究，特别是部分双曲系统以及星号向量场的动力学性质的研究。主持国家自然科学青年基金，参与国家自然科学基金重点项目及面上项目多项。在 J. Mod. Dyn.，  Discrete Contin. Dyn. Syst.，C. R. Math. Acad. Sci. Paris，Proc. Amer. Math. Soc.等学术期刊发表论文多篇。

联系人：朱玉峻教授

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