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

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

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