Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Relation between the two geometric Satake equivalences via nearby cycle
Katsuyuki Bando
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Keywords: arithmetic geometry, geometric Satake, affine Grassmannian, perfectoid space, geometric Langlands, nearby cycle
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2026 Volume 49 Issue 1 Pages 1-18

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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.

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© 2026 Institute of Science Tokyo, Department of Mathematics
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