\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II

DOI10.1007/BF01231575zbMath0823.11020MaRDI QIDQ1320063

Richard Taylor

Publication date: 6 November 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144202

zbMATH Keywords

\(L\)-functionTate moduleautomorphic representations\(l\)-adic representationsRamanujan conjectureholomorphic Siegel modular formscohomology of hyperbolic three-manifoldselliptic curves over imaginary quadratic fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55) Local ground fields in algebraic geometry (14G20) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

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Cites Work

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• \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Galois representations associated to Siegel modular forms of low weight
• Appendix: A refinement of the strong multiplicity one theorem for \(GL(2)\)
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I