Lagrangian fillings of Legendrian links of finite type

Abstract: In this talk, we will focus on Legendrian links admitting cluster structures of finite type (via N-graph ways) and prove that those Legendrian links of type ADE have embedded exact Lagrangian fillings as many as the number of seeds in their cluster structures. $\newline$ Furthermore, we will describe the cluster structures of BCFG-type among Lagrangian fillings of ADE-type Legendrian links, which have certain partial symmetries. $\newline$ This is joint work with Youngjin Bae (Incheon National University) and Eunjeong Lee (IBS-CGP).

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