Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture

DOI10.1007/s12188-020-00224-wzbMath1469.11089OpenAlexW3097609565WikidataQ122860686 ScholiaQ122860686MaRDI QIDQ2024492

Neil Dummigan

Publication date: 4 May 2021

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-020-00224-w

zbMATH Keywords

Bloch-Kato conjecturedihedral congruence primetwisted adjoint \(L\)-value

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (1)

Automorphic forms for some even unimodular lattices

Cites Work

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• Dihedral congruence primes and class fields of real quadratic fields
• Symmetric square \(L\)-values and dihedral congruences for cusp forms
• Global quadratic units and Hecke algebras
• Discriminant of Hecke fields and twisted adjoint \(L\)-values for \(GL(2)\)
• Crystalline cohomology and \(GL(2,\mathbb{Q})\)
• SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II
• Congruences between cusp forms and linear representations of the Galois group
• The Tamagawa number conjecture of adjoint motives of modular forms
• Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
• The Bloch-Kato conjecture for adjoint motives of modular forms

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