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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 18, 2013 15:30–16:20, Moscow, Steklov Mathematical Institute of the RAS

Instantons moduli spaces and W-algebras

H. Nakajima
 Video records: Flash Video 332.4 Mb Flash Video 1,991.8 Mb MP4 332.4 Mb

Abstract: Consider the equivariant intersection cohomology group of the Uhlenbeck space with the structure group $G$ (partial compactification of the $G$-instanton moduli spaces over $\mathbf R^4$ with framing). We endow it with a structure of an integral form of the $W$-algebra, at least when $G$ is of type ADE. We have the infinite dimensional $R$-matrix and the Yang–Baxter equation quite naturally, which give us a new view point to the $W$-algebra.