Quiver varieties and quantum toroidal algebras


Hiraku Nakajima

Kyoto University

Harvard University

Thursday, February 20, 2002


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


Abstract:   Consider quiver varieties for an affine quiver. They are moduli spaces of instantons on the ALE space. Their equivariant K-groups have structures of representations of the quantum toroidal algebra, a q-analog of the loop algebra of the affine Lie algebra (2-toroidal algebra). This is a generalization of my construction for quiver varieties for a finite quiver. I will discuss some open problems.


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Posted: February 18, 2002    URL: