Legendrian knots and their Lagrangian fillings: A conspectus on recent developments

Abstract: In this talk I will survey some of the recent developments in the study of Lagrangian fillings of Legendrian knots. First, I will introduce and motivate the leading questions. Then, we will discuss the current methods and techniques available to tackle them. Finally, I will suggest some open problems that now seem at reach, along with some strategies to approach them.

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