Functoriality and the theta correspondence
Number Theory
2026-04-06 v1 Representation Theory
Abstract
We study the functoriality of the local theta correspondence for classical -adic groups. This is realized via the adaptation of the Adams conjecture to ABV-packets. We provide evidence for the conjecture, especially in the case of general linear groups.
Cite
@article{arxiv.2604.03095,
title = {Functoriality and the theta correspondence},
author = {Alexander Hazeltine},
journal= {arXiv preprint arXiv:2604.03095},
year = {2026}
}