A pairing on the cuspidal eigenvariety for \(\text{GSp}_{2g}\) and the ramification locus

DOI10.25537/dm.2021v26.675-711zbMath1478.11071arXiv2005.04776MaRDI QIDQ2034391

Ju-Feng Wu

Publication date: 22 June 2021

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04776

zbMATH Keywords

\(p\)-adic \(L\)-functionseigenvarietiesoverconvergent cohomology

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

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• Critical \(p\)-adic \(L\)-functions
• Eigenvarieties for reductive groups
• Extended eigenvarieties for overconvergent cohomology
• \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\)
• \(p\)-adic families of Siegel modular cuspforms
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• \(p\)-adic family of half-integral weight modular forms via overconvergent Shintani lifting
• Universal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functoriality
• On Ramification Theory in Noetherian Rings
• Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions
• Overconvergent Eichler–Shimura isomorphisms
• The Eigenbook

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