Minimality of strong unstable foliations
报告专家：Sylvain Crovisier（CNRS, Université Paris-Sacla）
报告时间：2024年9月16日（星期一）下午15：00-16:00
报告地点：Zoom Meeting: 862 5068 7426 Password: 260544
报告摘要：In this talk I will focus on a well-known large class of differentiable dynamical systems: the (mixing) Anosov diffeomorphisms. It is known that each f these systems preserves a foliation which is invariant and expanded by the dynamics and which is minimal: any leaf is dense.
Sometimes such systems preserve sub-foliations, whose properties are much less understood: I will discuss its minimality and its stability. The tools that are developed along the way give perspective to address larger classes of dynamics (called partially hyperbolic systems).
This is a joint work with A. Avila, A. Eskin, R. Potrie, A. Wilkinson, Z. Zhang.
专家简介：Sylvain Crovisier教授是动力系统领域知名数学家，欧洲科学院院士，2014年ICM邀请报告人，数学领域顶尖期刊《Publications Mathématiques de l'IHÉS》编委。
邀请人：史逸
