Serre weight conjectures for \(p\)-adic unitary groups of rank 2 (Q2112370)

scientific article; zbMATH DE number 7640150

Language	Label	Description	Also known as
English	Serre weight conjectures for \(p\)-adic unitary groups of rank 2	scientific article; zbMATH DE number 7640150

Statements

instance of

scholarly article

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title

Serre weight conjectures for \(p\)-adic unitary groups of rank 2 (English)

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Algebra \& Number Theory

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publication date

10 January 2023

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full work available at URL

https://arxiv.org/abs/1810.03827

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zbMATH Keywords

generalization of Serre weight conjectures

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mod \(p\) Langlands

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nonsplit unitary groups

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Depth-zero base change for unramified \(U(2,1)\)

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

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Serre weights for rank two unitary groups

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Potential automorphy and change of weight

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Q3558905

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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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La correspondance de Langlands locale p-adique pour GL_2(Q_p)

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Explicit base change lifts of the supercuspidal representations of \(U(1,1)(F_0)\)

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Q3096597

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On a problem of local-global compatibility modulo \(p\) for \(\mathrm{GL}_2\) (with an Appendix of Lassina Dembélé)

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Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations

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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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Towards a modulo \(p\) Langlands correspondence for \(\mathrm{GL}_{2}\)

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The conjectural connections between automorphic representations and Galois representations

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

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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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Kisin modules with descent data and parahoric local models

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Patching and the \(p\)-adic local Langlands correspondence

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Un calcul d’anneaux de déformations potentiellement Barsotti–Tate

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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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Q3579569

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

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Representations of reductive groups over finite fields

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Q3499976

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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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Q3846428

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On the weights of mod \(p\) Hilbert modular forms

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THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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The Buzzard–Diamond–Jarvis conjecture for unitary groups

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General Serre weight conjectures

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Q4648160

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Modularity lifting theorems for Galois representations of unitary type

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

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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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Zur Reduktion modulo p der Charaktere von Deligne und Lusztig

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Q3800267

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On the irreducible characters of the finite unitary groups

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Crystalline representations and F-crystals

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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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A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\)

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Q3010067

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L-Indistinguishability For SL (2)

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Central morphisms and cuspidal automorphic representations

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Multiplicity one for wildly ramified representations

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

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Weight elimination in Serre-type conjectures

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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE

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MULTIPLICITY ONE AT FULL CONGRUENCE LEVEL

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Automorphic Representation of Unitary Groups in Three Variables. (AM-123)

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Q4126536

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

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Identifiers

Mathematics Subject Classification ID

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10.2140/ANT.2022.16.2005

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Sitelinks

Mathematics(1 entry)

mardi Publication:2112370