勷勤数学•领军学者报告

题      目：Closed Reeb orbits on contact type hypersurfaces

报  告  人： 段华贵 教授  (邀请人：余虓)

                                         吉林大学

时      间： 8月4日  14：30-15:30

地     点：数科院西楼111报告厅

报告人简介:

       段华贵，现为吉林大学数学学院教授。研究方向为非线性分析、哈密顿动力系统与辛几何。近年来，在指标迭代理论、哈密顿系统的周期轨道和微分几何中的闭测地线等方面取得系统性的研究成果，研究成果发表在Crelle’s Journal，JDG，Adv. Math., TAMS, JFA，Math. Z.，CVPDE，JDE等数学期刊上。

摘      要：

       In this talk, we show that under dynamically convex condition, there exist at least $[\frac{n+1}{2}]$ closed Reeb orbits on a closed contact type hypersurface in $T^*S^n$ enclosing the zero section and bounding a simply connected Liouville domain. Furthermore, if the contact form is non-degenerate and has finitely many closed Reeb orbits, then there exist at least two irrationally elliptic closed Reeb orbits. This is a joint work with Zihao Qi

          欢迎老师、同学们参加、交流！