拓扑研讨班:Augmentations and Exact Lagrangian surfaces

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：潘宇 博士(MIT, Cambridge, MA)

题  目：Augmentations and Exact Lagrangian surfaces

时  间：2020.12.07（星期一）, 09:30-10:30

地  点：数学院南楼N202

Zoom会议：666 8036 1569     密码：396848

摘  要：A major theme in symplectic and contact topology is the study of Legendrian knots and exact Lagrangian surfaces. In the talk, we will talk about some flexibility results of immersed Lagrangian surfaces using augmentation, a Floer type invariant of Legendrian knots. In particular, for an immersed filling of a topological knot, one can do surgery to resolve a double point with the price of increasing the surface genus by 1. In the Lagrangian analog, one can do Lagrangian surgery on immersed Lagrangian fillings to treat a double point by a genus. In this talk, we will explore the possibility of reversing the Lagrangian surgery, i.e., compressing a genus into a double point. It turns out that not all Lagrangian surgery is reversible.