Modularity of nearly ordinary 2-adic residually dihedral Galois representations
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Publication:2921068
DOI10.1112/S0010437X1300780XzbMath1302.11036arXiv1301.1113OpenAlexW2127781201MaRDI QIDQ2921068
Publication date: 30 September 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.1113
deformation theoryHilbert modular formsGalois representationsHecke algebraautomorphic representationmodularity of elliptic curves over totally real fields
Related Items (8)
Vanishing Fourier coefficients of Hecke eigenforms ⋮ Automorphy of some residually dihedral Galois representations ⋮ Raising the level at your favorite prime ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Level raising mod 2 and arbitrary 2-Selmer ranks ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Elliptic curves over real quadratic fields are modular ⋮ Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7
Cites Work
- On Galois representations associated to Hilbert modular forms
- Moduli of finite flat group schemes, and modularity
- Serre's modularity conjecture. II
- Modularity of 2-adic Barsotti-Tate representations
- On ordinary \(\lambda\)-adic representations associated to modular forms
- Compact subgroups of linear algebraic groups
- Motives for Hilbert modular forms
- Overconvergent modular forms and the Fontaine-Mazur conjecture
- Nearly ordinary deformations of irreducible residual representations
- Pseudo representations
- On the modularity of certain 2-adic Galois representations
- Characterization of characters and pseudo-characters
- Hilbert modular forms and p-adic Hodge theory
- Joins and Intersections
- Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
- Classification of Demushkin Groups
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