Lectures on perverse sheaves on instanton moduli spaces
  I will explain my joint paper `Instantons moduli spaces and W-algebras' with A.Braverman, M.Finkelberg, arXiv:1406.2381. I will concentrate on the geometric part, that is a study of perverse sheaves on instanton moduli spaces. I place a particular emphasize on the hyperbolic restriction functor and stable envelop, which are our key tools, and appear also in other situations in geometric representation theory.   These are lecture notes for a course in 2015 PCMI. 
Hiraku Nakajima
math.RT hep-th math-ph math.AG math.DG math.MP