Toward an explicit eigencurve for GL(3)

DOI10.1142/S1793042117500658zbMath1415.11082OpenAlexW2551839724MaRDI QIDQ5269112

Avner Ash, David Pollack

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117500658

zbMATH Keywords

homologyarithmetic groupeigencurve

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) (p)-adic theory, local fields (11F85) Cohomology of arithmetic groups (11F75)

Cites Work

• Unnamed Item
• The modular symbol and continued fractions in higher dimensions
• \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\)
• Universal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functoriality
• A constructive approach to p-adic deformations of arithmetic homology
• A Construction of Rigid Analytic Cohomology Classes for Congruence Subgroups of SL₃(ℤ)
• Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients
• Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)

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