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2020 Supersingular Hecke modules as Galois representations
Elmar Grosse-Klönne
Algebra Number Theory 14(1): 67-118 (2020). 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 GL d + 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 ( F ̄ F ) -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 ( F ̄ F ) -representations over k .

Citation

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Elmar Grosse-Klönne. "Supersingular Hecke modules as Galois representations." Algebra Number Theory 14 (1) 67 - 118, 2020. https://doi.org/10.2140/ant.2020.14.67

Information

Received: 10 December 2018; Revised: 6 May 2019; Accepted: 1 September 2019; Published: 2020
First available in Project Euclid: 7 April 2020

zbMATH: 07180782
MathSciNet: MR4076808
Digital Object Identifier: 10.2140/ant.2020.14.67

Subjects:
Primary: 11F85

Rights: Copyright © 2020 Mathematical Sciences Publishers

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