Local newforms and spherical characters for unitary groups
Representation Theory
2024-03-18 v2 Number Theory
Abstract
We prove a smooth transfer statement analogous to Jacquet-Rallis's fundamental lemma, use it to compute a local spherical character appearing in the Ichino-Ikeda conjecture, and prove a statement on the existence of local newforms for unitary groups as a corollary.
Cite
@article{arxiv.2311.17700,
title = {Local newforms and spherical characters for unitary groups},
author = {Gefei Dang},
journal= {arXiv preprint arXiv:2311.17700},
year = {2024}
}