Vol. 14, No. 1, 2020

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 4, 821–1076
Issue 3, 569–820
Issue 2, 309–567
Issue 1, 1–308

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Supersingular Hecke modules as Galois representations

Elmar Grosse-Klönne

Vol. 14 (2020), No. 1, 67–118
DOI: 10.2140/ant.2020.14.67
Abstract

Let F be a local field of mixed characteristic (0,p), let k be a finite extension of its residue field, let be the pro-p-Iwahori Hecke k-algebra attached to GLd+1(F) for some d 1. We construct an exact and fully faithful functor from the category of supersingular -modules to the category of Gal(F̄F)-representations over k. More generally, for a certain k-algebra surjecting onto we define the notion of -supersingular modules and construct an exact and fully faithful functor from the category of -supersingular -modules to the category of Gal(F̄F)-representations over k.

Keywords
pro-$p$ Iwahori Hecke algebra, supersingular module, Galois representation, $(\varphi, \Gamma)$-module
Mathematical Subject Classification 2010
Primary: 11F85
Milestones
Received: 10 December 2018
Revised: 6 May 2019
Accepted: 1 September 2019
Published: 15 March 2020
Authors
Elmar Grosse-Klönne
Mathematisch-Naturwissenschaftliche Fakultät, Institut für Mathematik
Humboldt-Universität zu Berlin
Germany