On \(p\)-adic families of Hilbert cusp forms of finite slope

DOI10.1016/j.jnt.2006.07.013zbMath1160.11028OpenAlexW1968615374MaRDI QIDQ2370188

Atsushi Yamagami

Publication date: 22 June 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.07.013

zbMATH Keywords

\(p\)-adic families of automorphic forms\(p\)-adic analytic families of Hilbert eigenforms\(p\)-adic interpolation of spaces of totally definite quaternionic automorphic formsaffinoid Hecke varieties

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Spectral halo for Hilbert modular forms ⋮ Local constancy of dimensions of Hecke eigenspaces of automorphic forms ⋮ Base change for Hilbert eigenvarieties of unitary groups ⋮ Classical forms of weight one in ordinary families ⋮ The Jacquet–Langlands correspondence for overconvergent Hilbert modular forms

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