Lectures on perverse sheaves on instanton moduli spaces

Understand

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.