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Geometric operators on the equivariant K-theory of partial flag varieties

Mikhail Mazin
(Kansas State University)
Seminar
Wednesday, 27 March, 2019, at 13:00-14:00, in Aud. D1 (1531-113)
Abstract:

E. Vasserot described an action of the affine Schur algebra on the equivariant K-theory of the cotangent vector bundle to the partial flag variety. The quantum parameter q in this construction corresponds to the complex torus acting by stretching the fibers of the cotangent bundle. The goal of our project is to construct a q=0 degeneration of this action. We construct families of operators E_{i,j}(p), F_{i,j}(p), H_{i,j}(p) acting on the equivariant K-theory of the partial flag variety and prove that they satisfy certain relations.

 

This is a joint work in progress with Sergey Arkhipov.

Organised by: QGM
Contact person: Sergey Arkhipov