报告题目：Ergodicity of partially hyperbolic dynamics

报 告 人：封子强 博士后（北京大学北京国际数学研究中心）

报告时间：2025年11月18日（星期二）10:00—11:30

报告地点：数学科学学院224

校内联系人：侯晓博 副教授              联系方式：84708351-8301

报告摘要：Ergodicity, originally introduced by Boltzmann in 19th century as a hypothesis in thermodynamics, has been extensively studied as a powerful framework for formulating the equidistribution of typical orbits in dynamical systems. 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 famous Stable Ergodicity Conjecture proposed by Pugh-Shub 30-years ago asserts the prevalence of ergodicity among volume-preserving partially hyperbolic systems. I will present our results jointly with Raul Ures on characterizing this prevalence, giving advances to the Hertz-Hertz-Ures Ergodicity Conjecture.