Sept 8 at 17:30 in 507

Title:  Knot homology and categorified quantum groups from Lagrangian Floer theory

Abstract: Abstract: I will introduce Fukaya-Seidel categories and review Aganagic’s recent proposal for a categorification of quantum link invariants using Lagrangian Floer theory in multiplicative Coulomb branches equipped with a potential. I will introduce the tools necessary to do computations relevant to link homologies. I will also describe how categorified quantum groups arise in this setting. The final lecture will cover my proof (joint with Vivek Shende) that Aganagic’s link invariant coincides with Webster’s link invariant in the case g=sl(2), giving a symplectic construction of Khovanov homology (based on 2505.00327).