A Lane from Ergodicity to 3-manifold Topology, and Back
发布时间：2024年11月26日
浏览次数：108
发布者: He Liu
主讲人： 封子强（数学中心）
活动时间： 从 2024-11-28 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Using the argument introduced by Hopf, the so-called "Hopf argument", and developed by Anosov and Sinai, it is well-known that all $C^2$ volume-preserving uniformly hyperbolic systems are ergodic. The Stable Ergodicity Conjecture proposed by Pugh-Shub provides the abundance of ergodic partially hyperbolic diffeomorphisms in dimension three. However, it is still far from clarifying which partially hyperbolic diffeomorphism is ergodic. I will give a glance of how ergodicity traps in 3-manifold topology and how it might survive.
