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2. Algebraic, Complex and Differential Geometry and Topology

Quantum groups and quiver varieties

Andrei Neguţ
MIT, Cambridge, USA

Abstract:

We will survey the well-established connection between quantum (loop) groups and Nakajima quiver varieties, and focus on the correspondence between - the action of preprojective K-theoretic Hall algebras on the K-theory groups of quiver varieties, and - stable envelopes of quiver varieties, which are defined using the symplectic geometry of the latter.