题目：Local normal forms of dynamical systems with a singular underlying geometric structure

报告人： 姜恺（北京大学）

Abstract : In this talk, I will present a joint work with  Tudor S. Ratiu and Nguyen Tien Zung on local normal forms of both dynamical systems and some singular geometric structures. I will show the existence of a simultaneous local normalization for couples (X, G), where X is a vector field which vanishes at a point and G is a singular underlying geometric structure which is invariant with respect to X, in many different cases: singular volume forms, singular symplectic  and Poisson structures, and singular contact structures. Similarly to Birkhoff normalization for Hamiltonian vector fields, our normalization is also only formal, in general. I will also introduce a condition of integrability under which our simultaneous normalization is  convergent when G and X are (real or complex) analytic.

时间： 5月17日，周五上午10:40-11:40地点：565net必赢客户端本部教二楼 827 教室

联系人：魏巧玲

欢迎全体师生积极参加！