Symplectic fillings of asymptotically dynamically convex manifolds
报告题目(Title):Symplectic fillings of asymptotically dynamically convex manifolds
报告人(Speaker):周正一 (Institute for Advanced Study in Princeton)
地点(Place):后主楼1129
时间(Time):2019年9月9日16:00-17:00
邀请人(Inviter):龚文敏
报告摘要
One natural question in symplectic topology is understanding symplectic fillings of a given contact manifold. In this talk, I will introduce a Floer theoretic method of studying a class of contact manifolds admitting only the trivial augmentation, called asymptotically dynamically convex (ADC) manifolds. I will construct various structure maps and explain why they are independent of fillings for ADC manifolds. Such invariance can be used to answer both existence and uniqueness questions of symplectic fillings.