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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.04083 |
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| _version_ | 1866916923870019584 |
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| author | Hansen, David Johansson, Christian |
| author_facet | Hansen, David Johansson, Christian |
| contents | We study localized versions of the spectral action of Fargues--Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04083 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the cohomology of moduli spaces of local shtukas Hansen, David Johansson, Christian Number Theory Representation Theory We study localized versions of the spectral action of Fargues--Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture. |
| title | A note on the cohomology of moduli spaces of local shtukas |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2404.04083 |