Inductive construction of supercuspidal $L$-packets
Number Theory
2025-03-03 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.2502.20611,
title = {Inductive construction of supercuspidal $L$-packets},
author = {Raphaël Beuzart-Plessis and Michael Harris and Jack Thorne},
journal= {arXiv preprint arXiv:2502.20611},
year = {2025}
}