A weak entropy rigidity condition on surfaces

讲座题目：A weak entropy rigidity condition on surfaces
讲座时间 Datetime: 2025年12月5日，周五，15:00-16:00
地点 Venue: 海琴二号 A457
报告人Speaker: Maria Alejandra Rodriguez Hertz 教授
单位 Affiliation: Southern University of Science and Technology （南方科技大学）
主持人 Host：Sergio Augusto Romana Ibarra  副教授
报告摘要 Abstract:
Let f be a C^∞ diffeomorphism of a surface S preserving m. Let g be a pseudo-Anosov diffeomorphism on S preserving m such that (g,m) is a factor of (f,m) via a continuous surjective map π.
If  h_m(f)=h_m(g), then π is injective m-almost everywhere. In particular, it is non-uniformly hyperbolic and Bernoulli. 
Moreover, π is differentiable in the Whitney sense m-almost everywhere on S.
报告人简介：
Jana Rodriguez Hertz is an accomplished mathematician with a distinguished career in dynamical systems, evidenced by her extensive publication record and numerous invited talks at international conferences. Her research on partial hyperbolicity, ergodicity, and non-uniform hyperbolicity has made significant contributions to the field. These important findings have been published in leading mathematical journals, such as the Duke Mathematical Journal, Inventiones Mathematicae, Communications in Mathematical Physics, solidifying her international reputation as a significant figure in mathematics.