Une remarque sur les représentations locales $p$-adiques et les congruences entre formes modulaires de Hilbert

DOI10.24033/bsmf.2357zbMath0933.11028OpenAlexW2475019929MaRDI QIDQ4700611

Christophe Breuil

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_3_459_0

zbMATH Keywords

congruencesHilbert modular formscrystalline representations\(p\)-adic Galois representationscrystallinity

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

Lattices in Filtered (φ, N)-modules ⋮ Serre's modularity conjecture: the level one case ⋮ Fontaine-Laffaille modules and strongly divisible modules ⋮ Constructing Hilbert modular forms without exceptional primes ⋮ Galois representations modulo p and cohomology of Hilbert modular varieties ⋮ A refined lifting theorem for supersingular Galois representations ⋮ A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\) ⋮ Torsion p-adic Galois representations and a conjecture of Fontaine ⋮ Potentially semi-stable deformation rings ⋮ On Ihara’s lemma for Hilbert modular varieties ⋮ Serre's modularity conjecture. II ⋮ On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

Cites Work

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