Mod $p$ local-global compatibility for $\mathrm{GSp}_4(\mathbb{Q}_p)$ in the ordinary case (Q6572077)

scientific article; zbMATH DE number 7880771

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English	Mod $p$ local-global compatibility for $\mathrm{GSp}_4(\mathbb{Q}_p)$ in the ordinary case	scientific article; zbMATH DE number 7880771

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scholarly article

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title

Mod $p$ local-global compatibility for $\mathrm{GSp}_4(\mathbb{Q}_p)$ in the ordinary case (English)

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Documenta Mathematica

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publication date

15 July 2024

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zbMATH Keywords

algebraic forms

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Galois representations

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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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Producing geometric deformations of orthogonal and symplectic Galois representations

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Abelian surfaces over totally real fields are potentially modular

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Formes modulaires de Hilbert modulo $p$ et valeurs d'extensions entre caractères galoisiens

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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. II

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Patching and the $p$-adic local Langlands correspondence

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Patching and the -adic Langlands program for

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Kisin modules with descent data and parahoric local models

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Q3484924

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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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The $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$

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Diagrams in the mod <i>p</i> cohomology of Shimura curves

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Q3579581

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A geometric perspective on the Breuil–Mézard conjecture

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Weight cycling and Serre-type conjectures for unitary groups

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Lattices in the cohomology of Shimura curves

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The Local Langlands Conjecture for Sp(4)

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The local Langlands conjecture for $\text{GSp}(4)$

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Companion forms for unitary and symplectic groups

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General Serre weight conjectures

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Arthur's multiplicity formula for $\mathrm{GSp}_4$ and restriction to $\mathrm{Sp}_4$

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The weight in a Serre-type conjecture for tame $n$-dimensional Galois representations

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On mod local-global compatibility for in the ordinary case

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Conjecture de type de Serre et formes compagnons pour GSp4

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Zur Reduktion modulo p der Charaktere von Deligne und Lusztig

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Filtrierungen Der Darstellungen in Der Hauptserie Endlicher Chevalley-Gruppen

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Potentially semi-stable deformation rings

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Moduli of finite flat group schemes, and modularity

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Serre weight conjectures for $p$-adic unitary groups of rank 2

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Weight elimination in Serre-type conjectures

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Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows

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On mod p local-global compatibility for GL3(Qp) in the non-ordinary case

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Galois representations attached to automorphic forms on over fields

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On mod $p$ local-global compatibility for $\mathrm{GL}_n(\mathbb{Q}_p)$ in the ordinary case

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Variations on a Theorem of Tate

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Potential automorphy of $\mathrm{GSpin}_{2n+1}$-valued Galois representations

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On the Saito-Kurokawa lifting

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Irreducibility and Cuspidality

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Types and Hecke algebras for principal series representations of split reductive p-adic groups

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Galois representations arising from some compact Shimura varieties

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Potential level-lowering for GSp(4)

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The CAP representations of GSp (4,).

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Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups

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Representations modulo p of the p-adic group GL(2, F)

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Pro-$p$-Iwahori Hecke ring and supersingular $\bar{\text F}_p$-representations

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Q3216814

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On the images of Galois representations attached to low weight Siegel modular forms

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Identifiers

DOI

10.4171/dm/960

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6572077

Mod \(p\) local-global compatibility for \(\mathrm{GSp}_4(\mathbb{Q}_p)\) in the ordinary case (Q6572077)

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Mathematics(1 entry)