Functoriality for supercuspidal L-packets
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911136941604864 |
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| author | Bourgeois, Adèle Mezo, Paul |
| author_facet | Bourgeois, Adèle Mezo, Paul |
| contents | Kaletha constructs $L$-packets for supercuspidal $L$-parameters of tame $p$-adic groups. These $L$-packets consist entirely of supercuspidal representations, which are explicitly described. Using the explicit descriptions, we show that Kaletha's $L$-packets satisfy a fundamental functoriality property desired for the Local Langlands Correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_09552 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Functoriality for supercuspidal L-packets Bourgeois, Adèle Mezo, Paul Representation Theory 22E50, 11S37, 11F70 Kaletha constructs $L$-packets for supercuspidal $L$-parameters of tame $p$-adic groups. These $L$-packets consist entirely of supercuspidal representations, which are explicitly described. Using the explicit descriptions, we show that Kaletha's $L$-packets satisfy a fundamental functoriality property desired for the Local Langlands Correspondence. |
| title | Functoriality for supercuspidal L-packets |
| topic | Representation Theory 22E50, 11S37, 11F70 |
| url | https://arxiv.org/abs/2109.09552 |