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Title:
Quantum K-theory and Integrability
Speaker:
Abstract:
I will review the quantum equivariant K-theoretic counts of quasimaps to Nakajima quiver varieties. Then I will explain its connections to the quantum spin chain systems (XXZ) and to the soluble many-body systems (i.e. trigonometric Ruijsenaars). In the end, we will discuss the spaces of q-opers which are in part motivated by the enumerative algebraic geometry, and overview their role in representation theory and integrable models. Based on recent and ongoing work with Anton Zeitlin, Edward Frenkel, and Daniel Sage.
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