Local deformation rings for \(\mathrm{GL}_2\) and a Breuil-Mézard conjecture when \(l\neq p\)

DOI10.2140/ant.2016.10.1437zbMath1410.11128arXiv1309.1600OpenAlexW3124832805WikidataQ122961202 ScholiaQ122961202MaRDI QIDQ318931

Jack Shotton

Publication date: 6 October 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1600

zbMATH Keywords

Galois representationsBreuil-Mézarddeformation ringslocal Langlands

Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (11)

The Breuil-Mézard conjecture when \(l\neq p\) ⋮ The Fontaine-Mazur conjecture in the residually reducible case ⋮ Modularity lifting theorems ⋮ Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \) ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Ihara's lemma for Shimura curves over totally real fields via patching ⋮ Automorphy lifting for residually reducible -adic Galois representations, II ⋮ On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton) ⋮ Patching and multiplicity \(2^k\) for Shimura curves ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Wiles defect for Hecke algebras that are not complete intersections

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