报告题目: Symplectic Laplacians, boundary conditions and cohomology
报告人:王丽涵 博士
报告人单位: University of Connecticut
报告时间:2019年6月4日,下午14:00-15:00
报告地点:四牌楼校区逸夫建筑馆1502
报告摘要:
Symplectic Laplacians are introduced by Tseng and Yau in 2012, which are related to a system of supersymmetric equations from physics. These Laplacians behave different from usual ones in Riemannian case and Complex case. They contain both 2nd and 4th order operators. In this talk, we will discuss these operators and their relations with cohomologies on compact symplectic manifolds with boundary. For this purpose, we will introduce new boundary conditions for differential forms on symplectic manifolds. Their properties and importance will be discussed.
报告人介绍:
王丽涵,美国康涅狄格大学Assistant Research Professor。2013年在美国加州大学尔湾分校获得博士学位,曾任美国加州大学河滨分校访问助理教授。她在近期和Li-Sheng Tseng教授(UCI)的合作中,首创性地研究了带边辛流形上primitive cohomology的Hodge理论。