When symplectic geometry meets algebraic geometry at ball-packing
报告题目(Title)：When symplectic geometry meets algebraic geometry at ball-packing
报告人(Speaker)：Prof. Weiwei Wu （University of Georgia）
地点(Place)：腾讯会议ID：855 470 494
时间(Time)：2020年11月13日上午10-11点(星期五)
邀请人(Inviter)：龚文敏
报告摘要
Symplectic packing problem is one of the central theme in symplectic geometry, after Gromov’s celebrating non-squeezing theorem. Many works have been done to study whether a symplectic region can be packed into a given symplectic manifold.
We take a different perspective and study the topology of the space of symplectic packing when the packing exists. It turns out to be related to the symplectic automorphism of certain symplectic manifolds called the “ball-swapping”. Furthermore, we relate the story to the monodromy problem in algebraic geometry, and another more classical symplectic automorphism called “Dehn twists”. This leads to applications to uniqueness theorems of Lagrangian embeddings, classifications of homotopy types of symplectic automorphism groups and classification of finite group actions.
主讲人简介
吴惟为，美国佐治亚大学数学系助理教授。2012年获明尼苏达双城分校博士学位，曾在密歇根州立大学，蒙特利尔大学任博士后。吴惟为教授在辛拓扑和同调镜对称等领域作出了一系列具有国际影响力的工作，相关论文发表在Geom. Top., Crelle's journal, Adv. Math., Compositio, J. Differential Geom., Math. Ann. Selecta Math. 等杂志上
