Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

DOI10.1017/fms.2014.12zbMath1296.11053arXiv1204.0579OpenAlexW2963880713WikidataQ123118036 ScholiaQ123118036MaRDI QIDQ2879431

Yichao Tian, Shu Sasaki, Payman L. Kassaei

Publication date: 1 September 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0579

zbMATH Keywords

Galois representationsmodularity liftingHilbert modular formtotally real fieldArtin conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (6)

On local Galois representations associated to ordinary Hilbert modular forms ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Modularity lifting in parallel weight one ⋮ On canonical subgroups of Hilbert–Blumenthal abelian varieties ⋮ Abelian surfaces over totally real fields are potentially modular

Cites Work

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• On Artin representations and nearly ordinary Hecke algebras over totally real fields
• Congruences between Hilbert modular forms: constructing ordinary lifts
• Classicality of overconvergent Hilbert eigenforms: case of quadratic residue degrees
• Analytic continuation on Siegel varieties
• Companion forms over totally real fields. II
• On Galois representations associated to Hilbert modular forms
• Moduli of finite flat group schemes, and modularity
• Serre's modularity conjecture. II
• On Artin L-functions associated to Hilbert modular forms of weight one
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Values of abelian \(L\)-functions at negative integers over totally real fields
• The special values of the zeta functions associated with Hilbert modular forms
• Some remarks on ordinarity
• Companion forms and weight one forms
• Ramification of local fields with imperfect residue fields. II
• Pseudo representations
• On icosahedral Artin representations
• Correspondences on Shimura curves and Mazur's principle at \(p\)
• Characterization of characters and pseudo-characters
• On deformation rings and Hecke rings
• \(p\)-adic Hilbert modular forms of weight 1
• Deux théorèmes d'arithmétique
• Overconvergence and classicality: the case of curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Schémas en groupes de type $(p,\ldots,p)$
• Mod 2 and mod 5 icosahedral representations
• On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structure
• On icosahedral Artin representations, II
• Hilbert modular forms: mod 𝑝 and 𝑝-adic aspects
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Analytic continuation of overconvergent eigenforms
• Modularity lifting in parallel weight one
• Overconvergent Hilbert modular forms
• Canonical subgroups over Hilbert modular varieties

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