报告题目：The flexibility of symplectic forms and the semiglobal structure of integrable systems
报告人：唐修棣（Cornell University）
时间：2019年6月5日（星期三）10:00—11:00
地点：苏州大学本部精正楼（数学楼）307
摘要： We prove a parametric version of the flexibility of volume forms with some extra conditions, as well as a more general framework of fiber bundles where the volumes forms are on the fibers. Gromov's h-principle provides smooth cohomological paths between symplectic forms on noncompact manifolds and we prove that the Moser's theorem still applies if the path is subject to a growth condition at the infinity. Then we display how to remove a ray from the manifold without changing the symplectic structure.
We then consider Hamiltonian R^n-spaces, which are integrable systems. We are interested in singular points of the focus-focus type and we give a complete classification of the germ at a compact fiber of the momentum map with multiple such points by a tuple of formal power series.
报告人简介：
唐修棣，2014年在清华大学获得学士学位，2018年在加州大学圣地亚哥分校（UC SanDiego）获得博士学位，现为康奈尔大学访问助理教授（Visiting Assistant Professor），研究方向为微分几何、辛几何及可积系统等。
欢迎参加！