On \(p\)-adic \(L\)-functions for Hilbert modular forms

DOI10.1090/MEMO/1489MaRDI QIDQ6605396

John Bergdall, David Hansen

Publication date: 13 September 2024

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert modular formsGalois representations\(p\)-adic \(L\)-functionsperiod map\(p\)-adic automorphic forms\((\phi,\Gamma\))-modulesoverconvergent cohomology groupsthe eigenvariety

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) 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)

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