Geometric and Modular Representation Theory Seminar

On two geometric realizations of the anti-spherical module

The anti-spherical modules over the affine Hecke algebras admit two different realizations: one realization is in terms of the space of Whittaker functions on the affine flag manifolds and the other realization, due to Kazhdan-Lusztig, is in terms of the equivariant K-theory of the Springer resolution of the nilpotent cone for the dual group. I will explain the work of Arkhipov-Bezrukavnikov on the equivalence between the Iwahoric-Whittaker category and the equivariant derived category for the Springer resolution, which provides a geometric lift (or categorification) of the above two realizations of the anti-spherical modules.

Date & Time

March 03, 2021 | 3:00pm – 5:00pm

Location

Simonyi Hall 101 and Remote Access

Affiliation

University of Minnesota, Twin Cities; Member, School of Mathematics

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