On Arthur packets containing a fixed tempered representation
Representation Theory
2026-02-16 v1 Number Theory
Abstract
We determine the number of local Arthur packets containing a certain fixed tempered representation for classical -adic groups. More specifically, given a tempered extended multi-segment supported in the integers, we determine a count for all extended multi-segments which arise from it through applications of the operators arising from the theory of intersections of local Arthur packets.
Cite
@article{arxiv.2602.13090,
title = {On Arthur packets containing a fixed tempered representation},
author = {Alexander Hazeltine and Aarya Kumar and Andrew Tung},
journal= {arXiv preprint arXiv:2602.13090},
year = {2026}
}