GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS (Q5037530)

scientific article; zbMATH DE number 7482202

Language	Label	Description	Also known as
English	GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS	scientific article; zbMATH DE number 7482202

Statements

instance of

scholarly article

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title

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS (English)

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Journal of the Institute of Mathematics of Jussieu

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publication date

1 March 2022

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full work available at URL

https://arxiv.org/abs/1807.03529

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zbMATH Keywords

Galois representations

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Galois deformations

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automorphic forms

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congruences

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MaRDI profile type

MaRDI publication profile

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cites work

Local-global compatibility for $l=p$, II

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Potential automorphy and change of weight

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The sign of Galois representations attached to automorphic forms for unitary groups

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$G$-valued local deformation rings and global lifts

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Q3999894

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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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On Serre's conjecture for mod $\ell $ Galois representations over totally real fields

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The conjectural connections between automorphic representations and Galois representations

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Even Galois representations and the Fontaine-Mazur conjecture

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Even Galois representations and the Fontaine–Mazur conjecture. II

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Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$

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Local-global compatibility and the action of monodromy on nearby cycles

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Monodromy and local-global compatibility for $l=p$

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Sur les représentations galoisiennes modulo $\ell$ attachées aux formes modulaires. (On Galois representations modulo $\ell$ attached to modular forms)

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On the infinite fern of Galois representations of unitary type

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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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Lifting modular mod $l$ representations

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Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture

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A geometric perspective on the Breuil–Mézard conjecture

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A modularity lifting theorem for weight two Hilbert modular forms

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Companion forms over totally real fields. II

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Automorphic lifts of prescribed types

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THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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

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A family of Calabi-Yau varieties and potential automorphy

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On Serre's reciprocity conjecture for 2-dimensional mod $p$ representations of $\text{Gal}(\overline{\mathbb Q}/\mathbb Q)$

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The Fontaine-Mazur conjecture for $ {GL}_2$

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Moduli of finite flat group schemes, and modularity

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

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Level raising mod 2 and arbitrary 2-Selmer ranks

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On automorphy of certain Galois representations of $\mathrm{GO}_{4}$-type

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A structure theorem for subgroups of $GL_n$ over complete local Noetherian rings with large residual image

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Q3358844

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Variations on a Theorem of Tate

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Automorphy and irreducibility of some <i>l</i>-adic representations

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Unique decomposition of tensor products of irreducible representations of simple algebraic groups

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Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur.

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On the modular representations of degree two of $\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})$

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Base change and a problem of Serre

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REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR

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On the meromorphic continuation of degree two $L$-functions

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Automorphy for some $l$-adic lifts of automorphic mod $l$ Galois representations. II

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The image of complex conjugation in $l$-adic representations associated to automorphic forms

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Compatibility of local and global Langlands correspondences

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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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Irreducibility of automorphic Galois representations of low dimensions

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Identifiers

DOI

10.1017/S1474748020000195

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5037530