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Title:
Quantum K-theory for Nakajima quiver varieties and quantum integrable systems
Speaker:
Abstract:
In this talk, I will define the quantum K-theory of Nakajima quiver varieties via quasimaps and show its connection to representation theory of quantum groups and quantum integrable systems on the examples of the Grassmannian and the flag variety. In particular, the Baxter operator will be identified with operators of quantum multiplication by quantum tautological classes via Bethe equations. Based on joint works with P. Koroteev, A. Smirnov and A. Zeitlin.
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