Obstructions to Exact Lagrangian Fillings
发布时间:2023年03月28日
浏览次数:2640
发布者: Wenqiong Li
主讲人: Honghao Gao (Tsinghua University)
活动时间: 从 2023-04-05 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全9教室
We study Legendrian knots and their exact Lagrangian fillings. Viewed as cobordisms, exact Lagrangian fillings functorially induce morphisms between moduli spaces between Legendrian invariants. Algebraic structures over these moduli spaces can be used to define obstructions to exact Lagrangian fillings. In this talk, I will report a joint work with Dan Rutherford, where we construct an obstruction from the algebraic geometry of the augmentation variety, and compare it with previously known obstructions arising from A-infinity algebras.