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Quantum K-theory of Nakajima varieties
Algebraic Geometry and Number Theory| Speaker: | Andrey Smirnov, UC Berkeley |
| Related Webpage: | https://math.berkeley.edu/~smirnov/ |
| Location: | 2112 MSB |
| Start time: | Wed, Sep 27 2017, 11:00AM |
I will define a commutative deformation of K-theory K(X) for a special class of holomorphic symplectic varieties X (Nakajima quiver varieties). The deformed algebra is known as "quantum K-theory" of X. Its structure constants are given by Gromov-Witten invariants of X. I show that this algebra has a very explicit and simple description in terms of geometric R-matrices defined by Maulik and Okounkov.