THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS
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Publication:5496778
DOI10.1017/fmp.2014.1zbMath1408.11033arXiv1208.3179OpenAlexW2963825966WikidataQ59794566 ScholiaQ59794566MaRDI QIDQ5496778
Publication date: 28 January 2015
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.3179
Related Items (50)
GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS ⋮ MULTIPLICITY ONE AT FULL CONGRUENCE LEVEL ⋮ General Serre weight conjectures ⋮ Locally analytic socle. I. ⋮ Serre weights for rank two unitary groups ⋮ Un calcul d’anneaux de déformations potentiellement Barsotti–Tate ⋮ Multiplicity one of regular Serre weights ⋮ Automorphy of \(m\)-fold tensor products of GL(2) ⋮ The Breuil-Mézard conjecture when \(l\neq p\) ⋮ Reduction modulo 𝑝 of certain semi-stable representations ⋮ A Serre weight conjecture for geometric Hilbert modular forms in characteristic \(p\) ⋮ Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \) ⋮ Can We Dream of a 1-Adic Langlands Correspondence? ⋮ A family of irreducible supersingular representations of \(\mathrm{GL}_2(F)\) for some ramified \(p\)-adic fields ⋮ Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ A QUOTIENT OF THE LUBIN–TATE TOWER ⋮ Factorisation de la cohomologie étale p-adique de la tour de Drinfeld ⋮ ON THE IRREDUCIBLE COMPONENTS OF SOME CRYSTALLINE DEFORMATION RINGS ⋮ Patching and the -adic Langlands program for ⋮ Density of potentially crystalline representations of fixed weight ⋮ Local shtukas, Hodge-Pink structures and Galois representations ⋮ Local models for Galois deformation rings and applications ⋮ Degenerating products of flag varieties and applications to the Breuil-Mézard conjecture ⋮ Components of moduli stacks of two-dimensional Galois representations ⋮ Unobstructedness of Galois deformation rings associated to regular algebraic conjugate self-dual cuspidal automorphic representations ⋮ Combinatorics of Serre weights in the potentially Barsotti-Tate setting ⋮ Crystalline lifts and a variant of the Steinberg-Winter theorem ⋮ SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS ⋮ Poids de Serre dans la conjecture de Breuil–Mézard ⋮ \(G\)-valued local deformation rings and global lifts ⋮ Automorphy of \(\mathrm{Symm}^5(\mathrm{GL}(2))\) and base change ⋮ Semistable deformation rings in even Hodge-Tate weights ⋮ The Buzzard–Diamond–Jarvis conjecture for unitary groups ⋮ On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton) ⋮ Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows ⋮ Potentially crystalline deformation rings in the ordinary case ⋮ THE WEIGHT PART OF SERRE’S CONJECTURE FOR ⋮ On the Breuil-Mézard conjecture ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Serre weights and the Breuil-Mézard conjecture for modular forms ⋮ The Breuil-Mézard conjecture for quaternion algebras ⋮ Symmetric power functoriality for holomorphic modular forms. II. ⋮ On the automorphy of 2-dimensional potentially semistable deformation rings of \(G_{\mathbb{Q}_p}\) ⋮ A local proof of the Breuil–Mézard conjecture in the scalar semi‐simplification case ⋮ A local model for the trianguline variety and applications ⋮ Weight elimination in Serre-type conjectures ⋮ Asymptotic values of modular multiplicities for \(\mathrm{GL}_2\) ⋮ Lattices in the cohomology of Shimura curves ⋮ Serre weight conjectures for \(p\)-adic unitary groups of rank 2
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