The Breuil-Mézard conjecture when \(l\neq p\)

DOI10.1215/00127094-2017-0039zbMath1417.11154arXiv1608.01784OpenAlexW3123953325WikidataQ122884591 ScholiaQ122884591MaRDI QIDQ2413074

Jack Shotton

Publication date: 6 April 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01784

zbMATH Keywords

deformations of Galois representations$p$-adic Galois representations$p$-adic Langlands program$p$-adic Lie groupBreuil-Mezard conjecture

Mathematics Subject Classification ID

Galois theory (11S20) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items

PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES, Generic local deformation rings when, On the derived category of the Iwahori–Hecke algebra, Local models for Galois deformation rings and applications, Congruences between modular forms, Unobstructedness of Galois deformation rings associated to regular algebraic conjugate self-dual cuspidal automorphic representations, Curtis homomorphisms and the integral Bernstein center for \(\mathrm{GL}_n\), Generic smooth representations, Ihara's lemma for Shimura curves over totally real fields via patching, On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton), On the Breuil-Schneider conjecture : generic case, Symmetric power functoriality for holomorphic modular forms, Abelian surfaces over totally real fields are potentially modular, Wiles defect for Hecke algebras that are not complete intersections

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