报告一：Measure of maximal entropy for geodesic flows and closed geodesics
报告摘要：We consider the geodesic flow on rank one manifolds without focal points, and show the construction and uniqueness of the measure of maximal entropy. As an application, we obtain Margulis type asymptotics of the number of the closed geodesics.
报告人简介：吴伟胜，厦门大学，教授，2014年获宾夕法尼亚州立大学博士学位，2014-2016在北京大学做博士后，研究领域为微分动力系统和遍历论。先后主持自然科学基金青年基金和面上项目，在Adv. Math., Trans.AMS, Ergodic Theory and Dynamical Systems等重要期刊上发表论文十余篇。
报告二：Spectrum rigidity and integrability for Anosov diffeomorphisms
报告摘要：Let f be a partially hyperbolic DA-diffeomorphism on 3-torus. We show that the stable and unstable bundles of f is jointly integrable if and only if f is Anosov and has spectrum rigidity in the center bundle. This proves the Ergodic Conjecture on 3-torus. In higher dimensions, let f be an irreducible Anosov diffeomorphism on torus. If f is also absolutely partially hyperbolic and su-integrable, then it has spectrum rigidity in the center bundle. This talk is based on a series of work joint with S.Gan, A.Hammerlindl, A.Gogolev.
报告人简介：Yi Shi obtained PhD from Peking University and Universite de Bourgogne in 2014, and then did postdoc in IMPA. He is now an assistant professor in School of Mathematical Sciences at Peking University. His research field is differentiable dynamical systems, including partially hyperbolic dynamics and singular star vector fields.