报告题目：On the dynamics of geodesic flows on manifolds of nonpositive curvature， Part I
报告人：吴伟胜副教授（中国农业大学）
报告时间：12月10日（周二）上午10:00-11:00
报告地点：数学楼307
摘要：The geodesic flow on manifolds of negative curvature is a prime example of Anosov flows, while on rank one manifolds of nonpositive curvature, the geodesic flow is nonuniformly hyperbolic. We will discuss some ergodic properties of geodesic flows. Firstly, we show that the geodesic flow on certain rank one manifolds of nonpositive curvature is ergodic (in fact, Bernoulli) with respect to the Liouville measure.
报告题目：On the dynamics of geodesic flows on manifolds of nonpositive curvature， Part II
报告人：吴伟胜副教授（中国农业大学）
报告时间：12月10日（周二）下午2:00-2:50
报告地点：数学楼307
摘要：We continue the discussion of geodesic flow on rank one manifolds of nonpositive curvature. More precisely, we discuss the uniqueness of the measure of maximal entropy (MME) for geodesic flows on rank one manifolds of nonpositive curvature, which was conjectured by A. Katok in 1985 and proved by G. Knieper in 1998. We present the construction of MME via Patterson-Sullivan densities and prove its uniqueness following Knieper.
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