【online】On simultaneous linearization of certain commuting nearly-integrable diffeomorphisms
字体大小： 【小】 【中】 【大】
题目: On simultaneous linearization of certain commuting nearly-integrable diffeomorphisms
报告人: 陈秦波（KTH Royal Institute of Technology）
时间: 2021年09月23日 15:00-16:00
报告方式: Umeet APP 会议ID：136 416 6292 密码：199711
摘要：The question of linearization has been one of the central themes in dynamical systems. This talk discusses two typical smooth nearly-integrable maps of the cylinder which commute with each other. Under suitable conditions (including the symplectomorphisms), we use the KAM iterative scheme for the group action to show that the commuting maps considered in this talk are simultaneously C^\infty linearizable. As a consequence, we get local rigidity of certain class of Z^2-actions generated by commuting twist maps.