On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type
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Publication:898802
DOI10.1016/j.jnt.2014.12.017zbMath1375.11051OpenAlexW2008690192MaRDI QIDQ898802
Publication date: 21 December 2015
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.017
Galois representations (11F80) (p)-adic cohomology, crystalline cohomology (14F30) Formal groups, (p)-divisible groups (14L05)
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Cites Work
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- Even Galois representations and the Fontaine-Mazur conjecture
- Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences
- A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\)
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- Continuous cohomology and \(p\)-adic Galois representations
- Companion forms and Kodaira-Spencer theory
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Vanishing cycles and non-classical parabolic cohomology
- On the sign of regular algebraic polarizable automorphic representations
- A note on the \(p\)-adic Galois representations attached to Hilbert modular forms
- Potential automorphy and change of weight
- On a conjecture of Conrad, Diamond, and Taylor
- Representations induced in an invariant subgroup
- Mumford-Tate groups of polarizable Hodge structures
- Galois representations with quaternion multiplication associated to noncongruence modular forms
- Even Galois representations and the Fontaine–Mazur conjecture. II
- The Fontaine-Mazur conjecture for $ {GL}_2$
- How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- The Tamagawa number conjecture of adjoint motives of modular forms
- On admissible tensor products inp-adic Hodge theory
- An exercise concerning the selfdual cusp forms on \(\mathrm{GL}(3)\)