On the enhanced Shahidi conjecture and global applications
Representation Theory
2024-06-21 v3 Number Theory
Abstract
In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packets. We also classify unramified representations of Arthur type for G_n, and show that they lie in exactly one local Arthur packet, which is anti-generic. Then, we discuss the global applications of these results.
Keywords
Cite
@article{arxiv.2404.05773,
title = {On the enhanced Shahidi conjecture and global applications},
author = {Alexander Hazeltine and Baiying Liu and Chi-Heng Lo},
journal= {arXiv preprint arXiv:2404.05773},
year = {2024}
}
Comments
Comments are welcome. arXiv admin note: substantial text overlap with arXiv:2201.10539