Singularities of ordinary deformation rings

DOI10.1007/s00209-017-1912-1zbMath1456.11096arXiv1111.3654OpenAlexW2246537461MaRDI QIDQ1745300

Andrew Snowden

Publication date: 17 April 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3654

zbMATH Keywords

Galois representationsmodularity liftingdeformation rings

Mathematics Subject Classification ID

Integral representations (11S23) Galois representations (11F80)

Related Items (9)

Reciprocity in the Langlands program since Fermat's last theorem ⋮ Level raising mod 2 and arbitrary 2-Selmer ranks ⋮ The null-cone and cohomology of vector bundles on flag varieties ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Quadratic points on modular curves ⋮ 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 ⋮ Pseudorepresentations of weight one are unramified ⋮ Wiles defect for Hecke algebras that are not complete intersections

Cites Work

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• Moduli of finite flat group schemes, and modularity
• Serre's modularity conjecture. II
• Modularity of 2-adic Barsotti-Tate representations
• Modularity lifting beyond the Taylor-Wiles method
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne

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