Serre's modularity conjecture. II (Q1038721)

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scientific article; zbMATH DE number 5636296

Language	Label	Description	Also known as
English	Serre's modularity conjecture. II	scientific article; zbMATH DE number 5636296

Statements

scholarly article

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Serre's modularity conjecture. II (English)

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Jean-Pierre Wintenberger

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Chandrashekhar Khare

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Inventiones Mathematicae

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publication date

20 November 2009

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00222-009-0206-6

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Limites de représentations cristallines

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Construction of some families of 2-dimensional crystalline representations

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Mod $\ell$ representations of arithmetic fundamental groups II: A conjecture of A. J. de Jong

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Une remarque sur les représentations locales $p$-adiques et les congruences entre formes modulaires de Hilbert

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On level-lowering for mod 2 representations

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Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

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Companion forms and Kodaira-Spencer theory

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Modularity of certain potentially Barsotti-Tate Galois representations

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A conjecture on arithmetic fundamental groups

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On deformation rings and Hecke rings

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The Taylor-Wiles construction and multiplicity one

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The Tamagawa number conjecture of adjoint motives of modular forms

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On the modularity of certain 2-adic Galois representations

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

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The weight in Serre's conjectures on modular forms

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Hasse invariant and group cohomology

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On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.

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Construction de représentations $p$-adiques

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A tameness criterion for Galois representations associated to modular forms (mod \(p\))

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Congruences of cusp forms and special values of their zeta functions

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Galois representations into \(\text{GL}_2(\mathbb Z_p[[X]])\) attached to ordinary cusp forms.

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On p-adic Hecke algebras for \(GL_ 2\) over totally real fields

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Arithmetic Moduli of Elliptic Curves. (AM-108)

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Serre's modularity conjecture: the level one case

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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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Serre's modularity conjecture. I

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Moduli of finite flat group schemes, and modularity

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Potentially semi-stable deformation rings

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Modular curves and the Eisenstein ideal

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Some remarks on ordinarity

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Groupes de Picard et problèmes de Skolem. I

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Groupes de Picard et problèmes de Skolem. II

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On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms

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Modular forms and \(p\)-adic Hodge theory

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On a conjecture of Conrad, Diamond, and Taylor

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Functors of Artin Rings

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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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On Galois representations associated to Hilbert modular forms

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REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR

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On icosahedral Artin representations, II

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Galois representations.

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On the meromorphic continuation of degree two \(L\)-functions

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Ring-theoretic properties of certain Hecke algebras

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Artin’s conjecture for representations of octahedral type

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Modular elliptic curves and Fermat's Last Theorem

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On \(p\)-adic geometric representations of \(G_{\mathbb Q}\).

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00222-009-0206-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:1038721

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