Geometry and Quantum Theory Seminar

Speaker: Sebastian Haney, Harvard

Title: Homological mirror symmetry for Coulomb branches

Abstract: I will describe a result of Aganagic, Danilenko, Li, Shende, and Zhou which constructs a embeddings of certain cylindrical KLRW categories into Fukaya-Seidel categories of multiplicative Coulomb branches. This can be thought of as a homological mirror symmetry statement relating the Fukaya category of a multiplicative Coulomb branch to the derived category of a resolved additive Coulomb branch. I will describe the construction of the relevant Fukaya–Seidel categories, and explain how the KRLW relations are realized by counts of holomorphic disks in symmetric products of surfaces.