Potential automorphy over CM fields (Q2694213)

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scientific article; zbMATH DE number 7668527

Language	Label	Description	Also known as
English	Potential automorphy over CM fields	scientific article; zbMATH DE number 7668527

Statements

scholarly article

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Potential automorphy over CM fields (English)

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Annals of Mathematics. Second Series

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publication date

28 March 2023

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full work available at URL

https://arxiv.org/abs/1812.09999

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zbMATH Keywords

Galois representations

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automorphic forms

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MaRDI profile type

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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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Smooth representations of reductive <i>p</i> -ADIC groups: structure theory via types

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Potential automorphy and change of weight

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A family of Calabi-Yau varieties and potential automorphy. II.

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\(p\)-divisible groups, finite groups and filtered modules

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Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)

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Groupes reductifs

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Monodromy and local-global compatibility for \(l=p\)

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Modularity lifting beyond the Taylor-Wiles method

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Deux théorèmes d'arithmétique

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The \(p\)-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings

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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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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On the image of complex conjugation in certain Galois representations

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On the generic part of the cohomology of compact unitary Shimura varieties

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Pseudorepresentations of weight one are unramified

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Level-raising and symmetric power functoriality, I

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On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua

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Formes modulaires de poids $1$

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Construction de représentations $p$-adiques

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Harmonic analysis in weighted L2-spaces

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A decomposition of spaces of automorphic forms, and the Eisenstein cohomology of arithmetic groups

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Modularity lifting theorems for ordinary Galois representations

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PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES

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Deformations of Galois representations

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Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications

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Extensions between \(p\)-adic principal series and principal series modulo \(p\) of \(G(F)\)

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On the rigid cohomology of certain Shimura varieties

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A family of Calabi-Yau varieties and potential automorphy

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The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich

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On Euler Products and the Classification of Automorphic Forms II

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On Euler Products and the Classification of Automorphic Representations I

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A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)

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Crystalline representations and F-crystals

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Moduli of finite flat group schemes, and modularity

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Lie algebra cohomology and the generalized Borel-Weil theorem

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Möbius orthogonality for generalized Morse-Kakutani flows

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Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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Maximality of Galois actions for compatible systems

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On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations

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Groupes de Picard et problèmes de Skolem. II

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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY

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Schémas en groupes de type $(p,\ldots,p)$

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On torsion in the cohomology of locally symmetric varieties

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On the p-adic cohomology of the Lubin-Tate tower

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Galois properties of points of finite order of elliptic curves

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Quelques applications du théorème de densité de Chebotarev

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The multiplicity one theorem for \(\mathrm{GL}_n\)

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On Certain L-Functions

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Galois representations associated to holomorphic limits of discrete series

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REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II

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On the automorphy of <i>l</i>-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne

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Automorphy lifting for residually reducible 𝑙-adic Galois representations

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On the vanishing of adjoint Bloch-Kato Selmer groups of irreducible automorphic Galois representations

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Ring-theoretic properties of certain Hecke algebras

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Compatibility of local and global Langlands correspondences

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Modular elliptic curves and Fermat's Last Theorem

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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.4007/ANNALS.2023.197.3.2

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Sitelinks

Mathematics(1 entry)

mardi Publication:2694213

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