Berkeley-Tokyo Summer School "Geometry, Representation Theory, and Mathematical Physics": Integrable systems and quantum geometry

Seminar | August 21 | 1:15-2:45 p.m. | 740 Evans Hall

 Andrey Smirnov, Berkeley

 Department of Mathematics

In my talk I will overview new classes of integrable systems associated with Nakajima quiver varieties. I will explain the geometric construction of quantum Rmatrices, commuting families of Hamiltonians and corresponding Bethe equations. I will discuss relations of these systems with quantum cohomology and quantum K-theory of Nakajima varieties.