Lectures on perverse sheaves on instanton moduli spaces

Abstract

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.

52 pages; v.2 editted according to the referee's suggestions, 57pages; v.3 references to theorems, sections in [12] are updated according to update of [12]

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