Exceptional supercuspidal representations in small residue characteristic
Representation Theory
2026-03-23 v2 Number Theory
Abstract
In this paper, in residue characteristic 2 and 3, we extend the construction of epipelagic representations of Reeder--Yu to produce new supercuspidals of higher depth, building on work of Gastineau. In particular, we produce examples of epipelagic representations that do not arise from the construction of Reeder--Yu.
Cite
@article{arxiv.2602.14121,
title = {Exceptional supercuspidal representations in small residue characteristic},
author = {Yiannis Fam},
journal= {arXiv preprint arXiv:2602.14121},
year = {2026}
}
Comments
Minor changes made and examples further developed