中科院数学与系统科学研究院
数学研究所
拓扑研讨班
报告人： 吴惟为 教授（美国佐治亚大学）
题 目：Lagrangian surgery formulae and projective twists
时 间：2021.09.29（星期三），14:30-15 :30
地 点：南楼N502室
摘 要：I will explain the construction of Lagrangian Dehn twists along a given Lagrangian sphere S in symplectic geometry, then relate them to a symplectic operation called the Lagrangian surgery; the latter constructs Lagrangian embeddings of connected sums. The relation is two-fold: from a more geometric point of view, the Dehn twist of a given Lagrangian L can be regarded as a simultaneous surgery between L and the given Lagrangian sphere S; or, motivated by mirror symmetry, they are governed by a generalized surgery along clean intersections in a product symplectic manifold. The first perspective is usually difficult to work with an generalize, we will explain how the second perspective leads to a new view of the Huybrechts-Thomas conjecture regarding projective twists in Floer theories.
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