English

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups

Number Theory 2025-06-03 v1

Abstract

We establish the generic local Langlands correspondence by showing the equality of the Langlands-Shahidi LL-functions and Artin LL-functions in the case of even unitary similitude groups. As an application, we prove both weak and strong versions of the generic Arthur packet conjectures in the cases of even unitary similitude groups and even unitary groups. We further describe (not necessarily generic) LL-packets for even unitary similitude groups and establish their expected properties, including Shahidi's conjecture, the finiteness of LL-packets, and other related results.

Keywords

Cite

@article{arxiv.2506.00892,
  title  = {$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups},
  author = {Yeansu Kim and Muthu Krishnamurthy and Freydoon Shahidi},
  journal= {arXiv preprint arXiv:2506.00892},
  year   = {2025}
}
R2 v1 2026-07-01T02:52:56.224Z