UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD OF WEIGHT 1

Dimitrov, Mladen; Wiese, Gabor

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1017/S1474748018000026

Title :

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD OF WEIGHT 1

Author(s) :

Dimitrov, Mladen [Auteur]
Université de Lille
Wiese, Gabor [Auteur]
Université du Luxembourg = University of Luxembourg = Universität Luxemburg [uni.lu]

Journal title :

Journal of the Institute of Mathematics of Jussieu

Pages :

281-306

Publisher :

Cambridge University Press (CUP)

Publication date :

2020-03

ISSN :

1474-7480

HAL domain(s) :

Mathématiques [math]/Théorie des nombres [math.NT]

English abstract : [en]

The main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over $\overline{\mathbb{F}}_{p}$ of parallel weight 1 and level prime to $p$ is unramified above $p$ . ...
Show more >The main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over $\overline{\mathbb{F}}_{p}$ of parallel weight 1 and level prime to $p$ is unramified above $p$ . This includes the important case of eigenforms that do not lift to Hilbert modular forms in characteristic 0 of parallel weight 1. The proof is based on the observation that parallel weight 1 forms in characteristic $p$ embed into the ordinary part of parallel weight $p$ forms in two different ways per prime dividing $p$ , namely via ‘partial’ Frobenius operators.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

1508.07722
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