题目：Spin numbers: rotational Lyapunov exponents of Hamiltonian systems

摘要：Consider a symplectic diffeomorphism isotopic to identity on a symplectic manifold. For any invariant probability measure, we introduce an invariant that measures the self-spinning of the invariant measure. This spin number in fact generalizes the Conley-Zehnder index for periodic points to invariant measures. We will also talk about its dependence on different choices of trivializations of the tangent bundle, and its applications to existence of periodic points. This is a joint work with Zhihong Xia.

报告人简介：邓艳霞，中山大学数学学院（珠海）副教授。主要从事哈密顿动力系统与天体力学相关研究。2015年博士毕业于美国西北大学，在加拿大皇后大学，维多利亚大学以及美国加州大学圣地亚哥分校有博后和讲师工作经历。

时间：2021年12月16日（周四）14:30-15:30

地点：腾讯会议：298 638 237

邀请人：胡锡俊  况闻天