Combinatorics of Serre weights in the potentially Barsotti-Tate setting

DOI10.2140/moscow.2023.12.1OpenAlexW4361233101MaRDI QIDQ2694276

Agnès David, Ariane Mézard, Xavier Caruso

Publication date: 3 April 2023

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04147

zbMATH Keywords

deformationsBreuil-Mézard conjecture\(p\)-adic Galois representations

Mathematics Subject Classification ID

Galois theory (11S20)

Related Items (1)

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Cites Work

• On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields
• Moduli of finite flat group schemes, and modularity
• Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
• On the Breuil-Mézard conjecture
• Local models for Galois deformation rings and applications
• A local proof of the Breuil–Mézard conjecture in the scalar semi‐simplification case
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• Multiplicités modulaires raffinées
• The Fontaine-Mazur conjecture for $ {GL}_2$
• Un calcul d’anneaux de déformations potentiellement Barsotti–Tate
• Poids de Serre dans la conjecture de Breuil–Mézard
• VARIÉTÉS DE KISIN STRATIFIÉES ET DÉFORMATIONS POTENTIELLEMENT BARSOTTI-TATE
• SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
• A geometric perspective on the Breuil–Mézard conjecture
• THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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