Fixed-point statistics from spectral measures on tensor envelope categories
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908382139514880 |
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| author | Forey, Arthur Fresán, Javier Kowalski, Emmanuel |
| author_facet | Forey, Arthur Fresán, Javier Kowalski, Emmanuel |
| contents | We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetric group" $S_t$ for an indeterminate~$t$. We also discuss some arithmetic speculations related to Chebotarev's density theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_05844 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fixed-point statistics from spectral measures on tensor envelope categories Forey, Arthur Fresán, Javier Kowalski, Emmanuel Representation Theory Category Theory Number Theory Probability 11R44, 18M05, 18M25, 44A60, 60B10, 60B15 We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetric group" $S_t$ for an indeterminate~$t$. We also discuss some arithmetic speculations related to Chebotarev's density theorem. |
| title | Fixed-point statistics from spectral measures on tensor envelope categories |
| topic | Representation Theory Category Theory Number Theory Probability 11R44, 18M05, 18M25, 44A60, 60B10, 60B15 |
| url | https://arxiv.org/abs/2304.05844 |