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吴惟为 教授:Lagrangian surgery formulae and projective twists

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 吴惟为 教授，美国佐治亚大学
Inviter:
Title:
 Lagrangian surgery formulae and projective twists
Time & Venue:
 2021.09.29 14:30-15:30 南楼N502室
Abstract:
 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.

相关话题/佐治亚 美国

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