A Geometric Jacquet-Langlands Transfer for automorphic forms of higher weights

2020/08/24 by Jize Yu, Yu, Jize
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2008.10186

openalex publication_date 2020/08/24 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a geometric construction of the Jacquet-Langlands transfer for automorphic forms of higher weights by studying the geometry of the mod p fibres of different Hodge type Shimura varieties which satisfy a mild assumption and the cohomological correspondences between them.

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