Publication: Perverse mod p Sheaves on Affine Flag Varieties
No Thumbnail Available
Open/View Files
Date
2021-05-11
Authors
Published Version
Published Version
Journal Title
Journal ISSN
Volume Title
Publisher
The Harvard community has made this article openly available. Please share how this access benefits you.
Citation
Cass, Robert Alan. 2021. Perverse mod p Sheaves on Affine Flag Varieties. Doctoral dissertation, Harvard University Graduate School of Arts and Sciences.
Research Data
Abstract
We prove a mod p analogue of the geometric Satake equivalence and we give a geometric construction of central elements in affine mod p Hecke algebras. To accomplish these goals we apply techniques from F-singularities to the theory of perverse mod p sheaves on schemes in characteristic p. Along the way we prove new results about the F-singularities of affine Schubert varieties and equal characteristic analogues of local models of Shimura varieties.
Description
Other Available Sources
Keywords
affine Schubert varieties, F-singularities, geometric Satake, Hecke algebras, local models, perverse sheaves, Mathematics
Terms of Use
This article is made available under the terms and conditions applicable to Other Posted Material (LAA), as set forth at Terms of Service