Relation between the two geometric Satake equivalences via nearby cycle

Kodai Mathematical Journal 2026 Open access

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Authors: Katsuyuki Bando
DOI: 10.2996/kmj49101
Cited by: 0
References: 6

Abstract

Fargues and Scholze proved the geometric Satake equivalence over the Fargues–Fontaine curve. On the other hand, Zhu proved the geometric Satake equivalence using a Witt vector affine Grassmannian. In this paper, we explain the relation between the two versions of the geometric Satake equivalence via nearby cycle.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Algebraic structures and combinatorial models

Publication details

Journal / source
Kodai Mathematical Journal
Volume
49
Issue
1
Pages
1–18
Publication date
2 March 2026
Language
EN