题目：On the Hopf-Tsuji-Sullivan dichotomy on manifolds without conjugate points

报告人：刘飞 副教授

摘要：In this talk, we will establish the Hopf-Tsuji-Sullivan dichotomy for the Bowen-Margulis-Sullivan measures on visibility manifolds without conjugate points: either the geodesic flow is conservative and ergodic, or it is completely dissipative and non-ergodic. We also show several equivalent conditions to the conservativity, such the Poincare series diverges at the critical exponent, the conical limit set has full Patterson-Sullivan measure, etc.  

  报告人简介：刘飞，山东科技大学数学与系统科学学院副教授，主要从事测地流的动力学方面的研究，主持山东省自然科学基金、中国博士后科学基金和国家自然科学基金青年基金等项目，出版专著1部，在 Bulletin des Sciences Mathématiques, Ergodic Theory and Dynamical Systems, Science China Mathematics Discrete and Continuous Dynamical Systems-Series A,  Differential Geometry and its Applications 等期刊发表多篇论文。

  报告时间：2024年6月21日（星期五）上午9:30 -- 10:30

报告地点：教二楼913教室

联系人：王方