An automorphic description of the zeta function of the basic stratum of certain Kottwitz varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917827487727616 |
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| author | Liu, Yachen |
| author_facet | Liu, Yachen |
| contents | We derive formulas for the number of points on the basic stratum of certain Kottwitz varieties in terms of automorphic representations and certain explicit polynomials, for which we present efficient algorithms for computation. We obtain our results using the trace formula, base change, representations of general linear groups over p-adic fields, and a truncation of the formula of Kottwitz for the number of points on Shimura varieties over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An automorphic description of the zeta function of the basic stratum of certain Kottwitz varieties Liu, Yachen Number Theory Algebraic Geometry Representation Theory We derive formulas for the number of points on the basic stratum of certain Kottwitz varieties in terms of automorphic representations and certain explicit polynomials, for which we present efficient algorithms for computation. We obtain our results using the trace formula, base change, representations of general linear groups over p-adic fields, and a truncation of the formula of Kottwitz for the number of points on Shimura varieties over finite fields. |
| title | An automorphic description of the zeta function of the basic stratum of certain Kottwitz varieties |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2411.01224 |