Functoriality for supercuspidal L-packets
| Autor: | Bourgeois, Adèle, Mezo, Paul |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Extended to prove a more precise functoriality conjecture of Solleveld for regular supercuspidal L-parameters and to include fields of positive characteristic |
| Databáze: | arXiv |
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