Peter Koroteev, Quantum K-theory of quiver varieties and integrable systems

We shall define quantum K-theory of Nakajima quiver varieties using quasimap counts. For type A quivers we shall discuss in detail the connection with integrable systems of different types — integrable spin chains (XXZ) and many body systems of Ruijsenaars-Schneider type. These two types of models are related by so-called quantum/classical duality which we can explained geometrically.