报告地点：学院南路校区，主教107

主持人：梁超 教授

学术报告一：Global smooth rigidity for toral automorphisms

报告时间：7月29日（星期二）下午 15:00-16:00

报告人：王贞琦，密歇根州立大学，副教授

报告摘要：We study regularity of a conjugacy between a hyperbolic or partially hyperbolic toral automorphism $L$ and a $C^\infty$ diffeomorphism $f$ of the torus. For a very weakly irreducible hyperbolic automorphism $L$ we show that any $C^1$ conjugacy is $C^\infty$. For a very weakly irreducible ergodic partially hyperbolic automorphism $L$ we show that any $C^{1+\text{H\"older}}$ conjugacy is $C^\infty$. As a corollary, we improve regularity of the conjugacy to $C^\infty$ in prior local and global rigidity results. This is a joint work with B. Kalinin and V. Sadovskaya.

报告人简介：密歇根州立大学副教授，2010年在宾州州立大学取得博士学位。主要研究方向为动力系统，在 Journal of modern dynamics and Ergodic theory and dynamical systems 等动力系统学期刊发表10余篇论文。

学术报告二：Dynamical zeta function for partially hyperbolic systems

报告时间：7月29日（星期二）下午 16:00-17:00

报告人：董长光，南开大学，研究员

报告摘要：We will discuss a dynamically defined zeta function for partially hyperbolic systems. This is a generalization of the classical Ruelle zeta function for Anosov (more generally Axiom A) diffeomorphisms/flows, which may reflect dynamical invariants such as entropy and pressure, as well as the geometry/topology of the manifolds. This talk is based on an ongoing project with my student Qiujie Qiao.

报告人简介：董长光，毕业于宾夕法尼亚州立大学，师从 Katok 教授。从事光滑动力系统方面的研究。现为南开大学陈省身数学研究所研究员。

学术报告三：Gluing orbit property for set-valued maps

报告时间：7月29日（星期二）下午 17:00-18:00

报告人：任宪坤，重庆大学，讲师

报告摘要：In this talk, we will introduce the gluing orbit property for set-valued maps. We will discuss some ergodic properties of such systems. Specially, we will show that a non-minimal set-valued map with gluing orbit property has positive entropy.

报告人简介：重庆大学讲师，博士毕业于北京大学数学科学学院，研究领域为微分动力系统与遍历论，主持国家自然科学基金青年项目，在 JDDE, DCDS 等杂志发表论文多篇。

撰稿人：刘洁

审稿人：邓露