2019-12-16 ~ 2019-12-18 813
IPMU, University of Tokyo
Title: Geometric Satake correspondences for Kac-Moody Lie algebras and
Coulomb branches of 3d N=4 gauge theories
Abstract: The usual geometric Satake correspondence gives relation between geometry of affine Grassmannian of a complex reductive group and representation theory of its Langlands dual group. Recently we are trying to build a similar result for more general Kac-Moody Lie algebras, based on Coulomb branches of 3d N=4 gauge theories defined by Braverman, Finkelberg and myself mathematically rigorously. I will start with the historical account for the usual one, and then survey the current status of the generalization.