Epipelagic Langlands parameters and L-packets for unitary groups
Number Theory
2020-02-12 v3 Representation Theory
Abstract
Reeder and Yu have recently given a new construction of a class of supercuspidal representations called epipelagic representations. We explicitly calculate the Local Langlands Correspondence for certain families of epipelagic representations of unitary groups, following the general construction of Kaletha [Kal15]. The interesting feature of our computation is that we find simplifications within L-packets of the two novel invariants introduced in [Kal15], the toral invariant and the admissible L-embedding.
Cite
@article{arxiv.1711.02762,
title = {Epipelagic Langlands parameters and L-packets for unitary groups},
author = {Tony Feng and Niccolo Ronchetti and Cheng-Chiang Tsai},
journal= {arXiv preprint arXiv:1711.02762},
year = {2020}
}
Comments
Final version, to appear in International Journal of Number Theory