Sheaf quivers and W-algebras

Motivated by the supersymmetric gauge theory, in this talk I will
explain the construction of the generalized cohomological quiver
two-parametric (t,q) W-algebras in terms of the equivariant K-theory
of the quiver representations in sheaves on C^2. If t=1 the associated
(1,q) W-algebra becomes classical Poisson commutative algebra related
the representation theory of q-quantum affine groups of Drinfeld
described by the theory of q-characters of Frenkel and Reshetikhin.
Hence, the present construction can be informally thought as a second
t-quantization of quantum affine groups.
Best, Sasha