Skip to Main Content

Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The integral geometric Satake equivalence in mixed characteristic
HTML articles powered by AMS MathViewer

by Jize Yu
Represent. Theory 26 (2022), 874-905
Published electronically: August 18, 2022


Let $k$ be an algebraically closed field of characteristic $p$. Denote by $W(k)$ the ring of Witt vectors of $k$. Let $F$ denote a totally ramified finite extension of $W(k)[1/p]$ and $\mathcal {O}$ its ring of integers. For a connected reductive group scheme $G$ over $\mathcal {O}$, we study the category $\mathrm {P}_{L^+G}(Gr_G,\Lambda )$ of $L^+G$-equivariant perverse sheaves in $\Lambda$-coefficient on the Witt vector affine Grassmannian $Gr_G$ where $\Lambda =\mathbb {Z}_{\ell }$ and $\mathbb {F}_{\ell } \ (\ell \ne p)$, and prove that it is equivalent as a tensor category to the category of finitely generated $\Lambda$-representations of the Langlands dual group of $G$.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2020): 22E57, 14F06, 20G05, 14D24
  • Retrieve articles in all journals with MSC (2020): 22E57, 14F06, 20G05, 14D24
Bibliographic Information
  • Jize Yu
  • Affiliation: Department of Mathematics, Caltech, 1200 East California Boulevard, Pasadena, California 91125
  • Address at time of publication: Room 228, Lady Shaw Building, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong.
  • ORCID: 0000-0003-2887-743X
  • Email:
  • Received by editor(s): August 24, 2020
  • Received by editor(s) in revised form: January 28, 2022, and February 16, 2022
  • Published electronically: August 18, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 874-905
  • MSC (2020): Primary 22E57; Secondary 14F06, 20G05, 14D24
  • DOI:
  • MathSciNet review: 4470196