Aarhus University Seal / Aarhus Universitets segl

QGM seminar by Mikhail Mazin (Kansas State University)

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

2019.03.15 | Jane Jamshidi

Date Wed 27 Mar
Time 13:05 14:05
Location 1551-113 (Aud. D1)


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.