Inductive construction of supercuspidal $L$-packets

Fuente: arXiv
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Autores principales: Beuzart-Plessis, Raphaël, Harris, Michael, Thorne, Jack
Formato: Preprint
Publicado: 2025
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author Beuzart-Plessis, Raphaël
Harris, Michael
Thorne, Jack
author_facet Beuzart-Plessis, Raphaël
Harris, Michael
Thorne, Jack
contents Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a version of the stable twisted trace formula for function fields, we prove the surjectivity of this parameterization for split groups in sufficiently large characteristic.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20611
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inductive construction of supercuspidal $L$-packets
Beuzart-Plessis, Raphaël
Harris, Michael
Thorne, Jack
Number Theory
Representation Theory
11S37, 11F72, 22E50, 11F80
Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a version of the stable twisted trace formula for function fields, we prove the surjectivity of this parameterization for split groups in sufficiently large characteristic.
title Inductive construction of supercuspidal $L$-packets
topic Number Theory
Representation Theory
11S37, 11F72, 22E50, 11F80
url https://arxiv.org/abs/2502.20611