Belitskii’s C^1 linearization theorem revisited
数学公众报告(120周年校庆系列第82场)
报告题目(Title):Belitskii’s C^1 linearization theorem revisited
报告人(Speaker):张文萌 教授 (重庆师范大学)
地点(Place):腾讯会议ID:625-445-832
时间(Time):2023年3月24日(周五),14:00-15:00
邀请人(Inviter):黎雄
报告摘要
Smooth linearization is one of the central themes in the study of dynamical systems. In this talk, we revisit Belitskii’s C^1 linearization theorem, which is one of the most famous theorems in the study of smooth linearization. We point out that the original proof of this theorem has some problems and take a different approach based on smooth invariant foliations to study this theorem for a larger class of dynamical systems, i.e., the random dynamical systems. This is a joint work with Kening Lu and Weinian Zhang.
主讲人简介
张文萌,重庆师范大学教授,博导,国家优青。主要从事微分方程与动力系统研究,成果发表在Adv Math、Math Ann、Proc London Math Soc、Trans Amer Math Soc、J Funct Anal和J Differ Equ等期刊;2018年入选重庆市“特支计划”科技创新领军人才;2019年获国家“优青”项目资助和教育部自然科学奖一等奖(第二完成人);2021年成为重庆市高校创新研究群体负责人;主持国家自然科学基金面上项目2项。