Serre weights for mod p Hilbert modular forms: the totally ramified case

DOI10.1515/CRELLE.2011.079zbMath1269.11050arXiv0904.0043OpenAlexW2963268764MaRDI QIDQ3103803

David Savitt, Toby Gee

Publication date: 12 December 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0043

zbMATH Keywords

Hilbert modular formsGalois representationsSerre weights

Mathematics Subject Classification ID

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 (14)

On the reduction modulo \(p\) of certain modular \(p\)-adic Galois representations ⋮ Serre weights for rank two unitary groups ⋮ Weight cycling and Serre-type conjectures for unitary groups ⋮ On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields ⋮ On the universal supersingular mod \(p\) representations of \(\mathrm{GL}_2(F)\) ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ Semistable deformation rings in even Hodge-Tate weights ⋮ The Buzzard–Diamond–Jarvis conjecture for unitary groups ⋮ Serre weights for \(\mathrm{U}(n)\) ⋮ Automorphic lifts of prescribed types ⋮ THE WEIGHT PART OF SERRE’S CONJECTURE FOR ⋮ An irreducibility criterion for supersingular $\mathbf{mod}$ $p$ representations of $\operatorname{GL}_{2}(F)$ for totally ramified extensions $F$ of $\mathbb{Q}_{p}$ ⋮ SERRE WEIGHTS FOR LOCALLY REDUCIBLE TWO-DIMENSIONAL GALOIS REPRESENTATIONS ⋮ Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂

Cites Work

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• \(p\)-divisible groups, finite groups and filtered modules
• On a conjecture of Conrad, Diamond, and Taylor
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Modularity of certain potentially Barsotti-Tate Galois representations
• Modularity of some potentially Barsotti–Tate Galois representations
• Potentially semi-stable deformation rings

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