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arXiv · 2203.12762

Relation between the two geometric Satake equivalence via nearby cycle

Katsuyuki Bando
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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 version of the geometric Satake equivalence via nearby cycle.

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Katsuyuki Bando. 2022-03-23. Relation between the two geometric Satake equivalence via nearby cycle. https://arxiv.org/abs/2203.12762

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