On depth-zero characters of p-adic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913675959336960 |
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| author | Solleveld, Maarten Xu, Yujie |
| author_facet | Solleveld, Maarten Xu, Yujie |
| contents | We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic groups, for groups that may be wildly ramified. We present several different definitions of ``depth-zero'' for characters, and show that these notions are in fact equivalent. These results are useful for proving new cases of local Langlands correspondences, in particular for depth zero representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On depth-zero characters of p-adic groups Solleveld, Maarten Xu, Yujie Number Theory Representation Theory 11S37, 22E50, 20G25 We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic groups, for groups that may be wildly ramified. We present several different definitions of ``depth-zero'' for characters, and show that these notions are in fact equivalent. These results are useful for proving new cases of local Langlands correspondences, in particular for depth zero representations. |
| title | On depth-zero characters of p-adic groups |
| topic | Number Theory Representation Theory 11S37, 22E50, 20G25 |
| url | https://arxiv.org/abs/2502.01505 |