Special day and time.  Thursday, May 11, 2023 at 4:00 PM

Speaker:  Mina Aganagic (UC Berkeley)

Title:  “Homological link invariants from Floer theory”

Abstract:  I will describe a theory which generalizes Heegard-Floer theory from gl(1|1) to arbitrary Lie (super) algebras. The theory gives rise to homological invariants of links and categorifies quantum group link invariants. The corresponding category of A-branes has many special features which render it solvable explicitly. In this talk, I will describe how the theory is solved, and how homological link invariants arise from it. I will focus on the two simplest cases, the gl(1|1) theory itself, and the su(2) theory, categorifying respectively the Alexander and the Jones polynomials.