Explicit examples for the Breuil-Mézard conjecture

DOI10.1016/J.JNT.2015.05.003zbMath1393.11045OpenAlexW758147915WikidataQ123345150 ScholiaQ123345150MaRDI QIDQ2517133

Chuangxun Cheng

Publication date: 14 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.05.003

zbMATH Keywords

Breuil-Mézard conjecturedeformations of Galois representations

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Cites Work

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• Multiplicity one of regular Serre weights
• Rank two Breuil modules: basic structures
• On the weights of mod \(p\) Hilbert modular forms
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• \(p\)-divisible groups, finite groups and filtered modules
• On the meromorphic continuation of degree two \(L\)-functions
• On a conjecture of Conrad, Diamond, and Taylor
• The Fontaine-Mazur conjecture for $ {GL}_2$
• Construction de représentations p-adiques semi-stables
• A geometric perspective on the Breuil–Mézard conjecture

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