Vivek Shende (UCB) “Categories and moduli spaces associated to singular Lagrangians”

Seminar Organizer

Event Details

I describe certain categories which arise from the consideration of singular Lagrangian geometries in symplectic manifolds, in 4 and 6 dimensions. These are (mathematically) the Fukaya category of a neighborhood of the singular space; presumably in physics, some category of branes. I will explain how moduli spaces usually associated with irregular singularities, cluster varieties, knot homology, and various other subjects arise in this manner, and then pose some questions regarding the connection to brane-tiling, higher genus effects, and quantization.