Two monoidal structures on Satake category in mixed characteristic
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914388488749056 |
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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. This can be transferred to the geometric Satake equivalence concerning a Witt vector affine Grassmannian via nearby cycle. On the other hand, Zhu proved the geometric Satake equivalence concerning a Witt vector affine Grassmannian. In this paper, we explain the coincidence of these two geometric Satake equivalences, including the coincidence of the two symmetric monoidal structures on the Satake category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_07376 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Two monoidal structures on Satake category in mixed characteristic Bando, Katsuyuki Number Theory Algebraic Geometry Representation Theory Fargues and Scholze proved the geometric Satake equivalence over the Fargues-Fontaine curve. This can be transferred to the geometric Satake equivalence concerning a Witt vector affine Grassmannian via nearby cycle. On the other hand, Zhu proved the geometric Satake equivalence concerning a Witt vector affine Grassmannian. In this paper, we explain the coincidence of these two geometric Satake equivalences, including the coincidence of the two symmetric monoidal structures on the Satake category. |
| title | Two monoidal structures on Satake category in mixed characteristic |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2302.07376 |