Relation between the two geometric Satake equivalence via nearby cycle
Number Theory
2026-03-16 v3 Algebraic Geometry
Representation Theory
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.
Keywords
Cite
@article{arxiv.2203.12762,
title = {Relation between the two geometric Satake equivalence via nearby cycle},
author = {Katsuyuki Bando},
journal= {arXiv preprint arXiv:2203.12762},
year = {2026}
}
Comments
20 pages, changed the arguments in section 3.1 and some minor errors