题目：Symplectic structures, moment maps, and the Donaldson geometric flow.

报告人：Dietmar A. Salamon  ETH Zurich 

时间：7月26日 周二 下午4:00-5:00

地点：管研楼1318

摘要：A fundamental question in symplectic topology, completely open in dimension four, is whether the space of symplectic forms in a fixed cohomology class is connected. An interesting approach to this problem was introduced by Donaldson in his work on moment maps and diffeomorphisms. In this lecture I will explain the background from symplectic geometry, outline the construction of the Donaldson geometric flow, and discuss what is known about it. (This part is based on the work of my student Robin Krom.)

个人简介：Salamon教授来自于德国苏黎世联邦理工学院，1994年他被邀请在国际数学家大会上给过报告，同时他还是美国数学学会会士。他的研究领域主要是与辛拓扑和辛几何相关。