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Quantum equivariant K-theory and quantum spin chains

QMAP Seminar

Speaker: Anton Zeitlin, Columbia
Location: 2112 MSB
Start time: Fri, Mar 17 2017, 12:15PM

I will talk about relationship between the theory of quantum integrable systems and the quantum geometry of Nakajima varieties, which was first conjectured by Nekrasov and Shatashvili and then explored by many physicists
and mathematicians. The main goal of the talk is the geometric description of the so-called XXZ spin chain in the context of quantum equivariant K-theory on the cotangent bundle of the Grassmannian. In particular, we interpret Baxter Q-operators and transfer matrices as multiplication operators on quantum tautological classes.

Based on a joint work with P. Pushkar and A. Smirnov.

bring lunch