学术报告

【online】On simultaneous linearization of certain commuting nearly-integrable diffeomorphisms

发布人:发布时间: 2021-09-17

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题目: On simultaneous linearization of certain commuting nearly-integrable diffeomorphisms

 

报告人: 陈秦波(KTH Royal Institute of Technology

 

时间: 2021092315:00-16:00  


报告方式: Umeet APP   会议ID136 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.


邀请人:程伟 老师