Local to global compatibility on the eigencurve

DOI10.1112/plms/pdr007zbMath1290.11080OpenAlexW2162646499MaRDI QIDQ3094126

Alexander G. M. Paulin

Publication date: 21 October 2011

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdr007

zbMATH Keywords

Galois representationlocal Langlands correspondenceHecke operatoreigencurve\(p\)-adic modular formrigid space

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items (8)

Universal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functoriality ⋮ Purity for families of Galois representations ⋮ \(p\)-adic interpolation of square roots of central \(L\)-values of modular forms ⋮ Geometric level raising and lowering on the eigencurve ⋮ Local Langlands correspondence, local factors, and zeta integrals in analytic families ⋮ Level raising for \(p\)-adic Hilbert modular forms ⋮ Local Langlands correspondence in rigid families ⋮ Geometry of the eigencurve at critical Eisenstein series of weight 2

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