Theta correspondence and Arthur packets: on the Adams conjecture
Representation Theory
2026-02-20 v3
Abstract
The Adams conjecture predicts that the local theta correspondence should respect Arthur packets. In this paper, we revisit the Adams conjecture for the symplectic--even orthogonal dual pair. Our results provide a precise description of all situations in which the conjecture holds.
Keywords
Cite
@article{arxiv.2211.08596,
title = {Theta correspondence and Arthur packets: on the Adams conjecture},
author = {Petar Bakic and Marcela Hanzer},
journal= {arXiv preprint arXiv:2211.08596},
year = {2026}
}
Comments
This is an updated version of the paper, including streamlined proofs, some minor corrections, and better explanations in section 7.3