Functoriality for supercuspidal L-packets
Representation Theory
2025-09-05 v6
Abstract
Kaletha constructs -packets for supercuspidal -parameters of tame -adic groups. These -packets consist entirely of supercuspidal representations, which are explicitly described. Using the explicit descriptions, we show that Kaletha's -packets satisfy a fundamental functoriality property desired for the Local Langlands Correspondence.
Keywords
Cite
@article{arxiv.2109.09552,
title = {Functoriality for supercuspidal L-packets},
author = {Adèle Bourgeois and Paul Mezo},
journal= {arXiv preprint arXiv:2109.09552},
year = {2025}
}
Comments
Extended to prove a more precise functoriality conjecture of Solleveld for regular supercuspidal L-parameters and to include fields of positive characteristic