A mod $p$ Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: Splicing and dicing

DOI10.24033/ast.1198arXiv2001.00530MaRDI QIDQ6098839

Shu Sasaki, Payman L. Kassaei

Publication date: 19 June 2023

Published in: Astérisque (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00530

zbMATH Keywords

Hilbert modular varietiesquaternionic Shimura varietiesgeometric Jacquet-Langlands relation

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Varieties over global fields (11G35) Modular and Shimura varieties (14G35)

Related Items (3)

On the étale cohomology of Hilbert modular varieties with torsion coefficients ⋮ A Serre weight conjecture for geometric Hilbert modular forms in characteristic \(p\) ⋮ GEOMETRIC WEIGHT-SHIFTING OPERATORS ON HILBERT MODULAR FORMS IN CHARACTERISTIC p

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