The theta correspondence over finite fields
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912983937974272 |
|---|---|
| author | Aubert, Anne-Marie |
| author_facet | Aubert, Anne-Marie |
| contents | This set of lecture notes is an expanded version of a mini-course the author gave in March of 2025 for the program ``Representation Theory \& Noncommutative Geometry" at the Institut Henri Poincaré, Paris.
The goal is to provide a survey of the main properties of the theta correspondence over finite fields of odd characteristic, including its compatibility with Harish-Chandra and Lusztig series, and with the Jordan decomposition of representations, as well as its full explicit description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The theta correspondence over finite fields Aubert, Anne-Marie Representation Theory 20C33, 20G40 This set of lecture notes is an expanded version of a mini-course the author gave in March of 2025 for the program ``Representation Theory \& Noncommutative Geometry" at the Institut Henri Poincaré, Paris. The goal is to provide a survey of the main properties of the theta correspondence over finite fields of odd characteristic, including its compatibility with Harish-Chandra and Lusztig series, and with the Jordan decomposition of representations, as well as its full explicit description. |
| title | The theta correspondence over finite fields |
| topic | Representation Theory 20C33, 20G40 |
| url | https://arxiv.org/abs/2603.25658 |