Title: Infinitely many Lagrangian fillings
Speaker: Honghao Gao
Speaker Info: Michigan State University
Brief Description: Research Talk
Meeting ID: 922-4351-6463Date: Thursday, April 30, 2020
Meeting Password: first word of the name of the seminar
Abstract: A filling is an oriented surface bounding a link. Lagrangian fillings can be constructed via local moves in finite steps, but it was unknown whether a Legendrian link could admit infinitely many Lagrangian fillings. In this talk, I will show that Legendrian torus links other than (2,m), (3,3), (3,4), (3,5) indeed have infinitely many fillings. These fillings are constructed using Legendrian loops, and proven to be distinct using the microlocal theory of sheaves and the theory of cluster algebras. This is a joint work with Roger Casals.