On depth-zero characters of p-adic groups
Number Theory
2025-02-04 v1 Representation Theory
Abstract
We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic groups, for groups that may be wildly ramified. We present several different definitions of ``depth-zero'' for characters, and show that these notions are in fact equivalent. These results are useful for proving new cases of local Langlands correspondences, in particular for depth zero representations.
Keywords
Cite
@article{arxiv.2502.01505,
title = {On depth-zero characters of p-adic groups},
author = {Maarten Solleveld and Yujie Xu},
journal= {arXiv preprint arXiv:2502.01505},
year = {2025}
}