Skip to Main content Skip to Navigation
Journal articles

An Iwahori-Whittaker model for the Satake category

Abstract : In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite extension of Q_l, or the ring of integers of such a field) can be described via Iwahori-Whittaker perverse sheaves on the affine Grassmannian. As an application, we confirm a conjecture of Juteau-Mautner-Williamson describing the tilting objects in the Satake category.
Document type :
Journal articles
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download
Contributor : Simon Riche Connect in order to contact the contributor
Submitted on : Tuesday, June 19, 2018 - 9:42:36 AM
Last modification on : Thursday, February 25, 2021 - 10:32:02 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 9:02:41 AM


Files produced by the author(s)


  • HAL Id : hal-01818403, version 1



Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirkovic, Simon Riche, Laura Rider. An Iwahori-Whittaker model for the Satake category. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2019, 6, pp.707-735. ⟨hal-01818403⟩



Record views


Files downloads