April 15, 5:30-7:30, Math 507

Yixuan Li

2D Mirror symmetry conjectures of certain 3D N=2 Coulomb branches

Coherent sheaves on 3D N=4 Higgs and Coulomb branches play an important role in the categorification of weight spaces in certain finite dimensional representations of quantum groups (e.g. quantum gl(n)). In this talk we'll try to define certain 3D N=2 Higgs and Coulomb branches of (affine) type A and discuss their relations to Verma modules of quantum gl(n) and finite dimensional modules of quantum gl(m|n). We'll also discuss a conjectural 2D mirror to coherent sheaves on 3D N=2 Coulomb branches. This is a sequel to Spencer Tamagni's second talk, based on joint work in progress with Mina Aganagic and Spencer Tamagni.