A unipotent circle action on 𝑝-adic modular forms

DOI10.1090/btran/52zbMath1457.11046arXiv2003.11129OpenAlexW3097160612MaRDI QIDQ5138472

Sean Howe

Publication date: 3 December 2020

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11129

zbMATH Keywords

\(p\)-divisible groups\(p\)-adic \(L\)-functions\(p\)-adic modular forms\(p\)-adic Hodge theoryIgusa varieties

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Automorphic forms and their relations with perfectoid spaces (11F77)

Related Items (3)

The spectral p-adic Jacquet–Langlands correspondence and a question of Serre ⋮ \(H^0\) of Igusa varieties via automorphic forms ⋮ Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

Cites Work

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• Arithmetic of p-adic modular forms
• Universal extensions and one dimensional crystalline cohomology
• \(p\)-adic interpolation of real analytic Eisenstein series
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• A \(p\)-adic Waldspurger formula
• Moduli of \(p\)-divisible groups
• Stability of lattices and the partition of arithmetic quotients
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• The Eisenstein Measure and P-Adic Interpolation
• p-adic families of automorphic forms in the µ-ordinary setting

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