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Relation between the two geometric Satake equivalence via nearby cycle (2203.12762v2)
Published 23 Mar 2022 in math.NT, math.AG, and math.RT
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.