Cuspidality criterion for symmetric powers of automorphic representations of GL(2) over function fields
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909198916255744 |
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| author | Lomeli, Luis Navarro, Javier |
| author_facet | Lomeli, Luis Navarro, Javier |
| contents | Given a cuspidal automorphic representation of GL(2) over a global function field, we establish a comprehensive cuspidality criterion for symmetric powers. The proof is via passage to the Galois side, possible over function fields thanks to the Langlands correspondence of L. Lafforgue and additional results of G. Henniart and B. Lemaire. Our work is guided by the number fields results of Kim-Shahidi and Ramakrishnan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02458 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cuspidality criterion for symmetric powers of automorphic representations of GL(2) over function fields Lomeli, Luis Navarro, Javier Number Theory 11F70, 22E55 Given a cuspidal automorphic representation of GL(2) over a global function field, we establish a comprehensive cuspidality criterion for symmetric powers. The proof is via passage to the Galois side, possible over function fields thanks to the Langlands correspondence of L. Lafforgue and additional results of G. Henniart and B. Lemaire. Our work is guided by the number fields results of Kim-Shahidi and Ramakrishnan. |
| title | Cuspidality criterion for symmetric powers of automorphic representations of GL(2) over function fields |
| topic | Number Theory 11F70, 22E55 |
| url | https://arxiv.org/abs/2310.02458 |