Infinitely many fillings through sheaves

Abstract: This talk will complement other talks in the day and present concrete examples. Specifically, I will construct infinitely many Lagrangian fillings for the Legendrian torus link (3,6), and explain how to distinguish them using sheaves and cluster algebras. Time permitting, I will discuss other torus links (joint work with R. Casals) and positive braid links (joint work with L. Shen and D. Weng).

algebraic geometrycombinatoricsdifferential geometrygeometric topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Legendrians, Cluster algebras, and Mirror symmetry

Series comments: Schedule
School: January 4–8, 2021
Conference: January 11–15, 2021