Relation between the two geometric Satake equivalence via nearby cycle
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866912963752886272 |
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| author | Bando, Katsuyuki |
| author_facet | Bando, Katsuyuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_12762 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Relation between the two geometric Satake equivalence via nearby cycle Bando, Katsuyuki Number Theory Algebraic Geometry Representation Theory 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. |
| title | Relation between the two geometric Satake equivalence via nearby cycle |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2203.12762 |