On Artin representations and nearly ordinary Hecke algebras over totally real fields

zbMath1293.11073MaRDI QIDQ374023

Shu Sasaki

Publication date: 25 October 2013

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/DMJDMV/vol-18/31.html

zbMATH Keywords

Galois representationsHilbert modular varietiesp-adic modular formsstrong Artin conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (7)

Classical weight one forms in Hida families: Hilbert modular case ⋮ On local Galois representations associated to ordinary Hilbert modular forms ⋮ 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 ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case ⋮ \(p\)-adic Hilbert modular forms of weight 1

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