Potential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representations
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Publication:2069642
DOI10.1007/s00209-021-02845-0zbMath1496.11077arXiv1910.03164OpenAlexW3197174454MaRDI QIDQ2069642
Publication date: 21 January 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03164
Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
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- Stabilization of the twisted trace formula. Vol. 2
- Galois representations arising from some compact Shimura varieties
- 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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- Serre's modularity conjecture. I
- Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
- On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
- On the motive of \(G\) and the principal homomorphism \(\text{SL}_2\to\widehat G\)
- \(G\)-valued local deformation rings and global lifts
- Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms
- On the image and fibres of solvable base change.
- Galois representations.
- Lifting \(G\)-irreducible but \(\mathrm{GL}_n\)-reducible Galois representations
- Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
- Computing finite Galois groups arising from automorphic forms
- On the sign of regular algebraic polarizable automorphic representations
- Potential automorphy and change of weight
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- The conjectural connections between automorphic representations and Galois representations
- Corps de nombres peu ramifiés et formes automorphes autoduales
- Compatibility of local and global Langlands correspondences
- L-Indistinguishability For SL (2)
- On Euler Products and the Classification of Automorphic Representations I
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- Minimally ramified deformations when
- Variations on a Theorem of Tate
- Potentially semi-stable deformation rings
- Local-global compatibility for $l=p$, II
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