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Congruences between modular forms (Q6193971)

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scientific article; zbMATH DE number 7820057

Language	Label	Description	Also known as
English	Congruences between modular forms	scientific article; zbMATH DE number 7820057

Statements

scholarly article

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Congruences between modular forms (English)

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Proceedings of the Indian Academy of Sciences. Mathematical Sciences

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publication date

19 March 2024

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zbMATH Keywords

modular forms

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Galois representations

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Langlands programme

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MaRDI profile type

MaRDI publication profile

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Potential automorphy over CM fields

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Automorphy lifting for residually reducible -adic Galois representations, II

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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

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

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Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations

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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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Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)

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Galois representations for Hilbert modular forms

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The Birch and Swinnerton-Dyer Conjecture: A brief survey

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

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Modularity lifting beyond the Taylor-Wiles method

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

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Level-raising and symmetric power functoriality, I

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Travaux de Shimura

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A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only

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Non-optimal levels of \(\text{mod }l\) modular representations

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Construction de représentations $p$-adiques

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General Serre weight conjectures

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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On the rigid cohomology of certain Shimura varieties

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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Serre's modularity conjecture: the level one case

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Serre's conjecture and its consequences

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Potentially semi-stable deformation rings

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

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Modularity of 2-adic Barsotti-Tate representations

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Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).

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The Langlands conjecture for \(\mathrm{GL}_2\) of a local field

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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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Serre's modularity conjecture. II

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Lectures in modern analysis and applications. III

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Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\)

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Modular curves and the Eisenstein ideal

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Symmetric power functoriality for holomorphic modular forms

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Symmetric power functoriality for holomorphic modular forms. II.

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The Fontaine-Mazur conjecture in the residually reducible case

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A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)

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

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Motives for modular forms

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On torsion in the cohomology of locally symmetric varieties

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Construction of automorphic Galois representations: the self-dual case

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The Breuil-Mézard conjecture when \(l\neq p\)

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A note on the \(p\)-adic Galois representations attached to Hilbert modular forms

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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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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Automorphy lifting for residually reducible 𝑙-adic Galois representations

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Ring-theoretic properties of certain Hecke algebras

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The Iwasawa conjecture for totally real fields

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Modular elliptic curves and Fermat's Last Theorem

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Identifiers

10.1007/s12044-024-00776-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6193971

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