Hiraku Nakajima - Ring objects in the derived Satake category from Coulomb branches
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 13/06/2017

Abstract:
In my joint work with Braverman and Finkelberg, we proposed a mathematical definition of Coulomb branches of SUSY gauge theories as Borel-Moore homology of certain varieties which have maps to affine Grassmannians.  This construction gives ring objects in derived Satake categories as pushforward of dualizing sheaves in the middle stage. We observe that we could start from ring objects, hence we can define Coulomb branches in more general context.