Relation between the two geometric Satake equivalences via nearby cycle

抄録

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.