Congruences between Siegel modular forms on the level of group cohomology

DOI10.5802/aif.1533zbMath0853.11038OpenAlexW1994107280MaRDI QIDQ1816877

Karsten Buecker

Publication date: 28 November 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_4_877_0

zbMATH Keywords

group cohomologycongruences of Hecke eigenvaluesvector-valued Siegel modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Connections of group theory with homological algebra and category theory (20J99)

Related Items (3)

Triple products of Coleman's families ⋮ Congruences between Siegel modular forms on the level of group cohomology ⋮ Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations

Cites Work

• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• On certain reciprocity-laws for theta functions and modular forms
• \(p\)-adic Banach spaces and families of modular forms
• Congruences between Siegel modular forms on the level of group cohomology
• Introduction to Lie Algebras and Representation Theory
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