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Geometric Satake, categorical traces, and arithmetic of Shimura varieties

2016/01/01 by Xinwen Zhu · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Mathematical Identities #Arithmetic #Categorical variable #Shimura variety #Mathematics #Computer science #Parallel computing #Pure mathematics #Statistics #Modular form

paper · doi:10.4310/cdm.2016.v2016.n1.a4

openalex publication_date 2016/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/02/24

Abstract

We survey some recent work on the geometric Satake of p-adic groups and its applications to some arithmetic problems of Shimura varieties. We reformulate a few constructions appeared in the previous works more conceptually.

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