arXiv Analytics

Sign in

arXiv:2302.10300 [math.RT]AbstractReferencesReviewsResources

Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields

Clifton Cunningham, Mishty Ray

Published 2023-02-20Version 1

In this paper we prove Vogan's conjecture on Arthur packets for general linear groups over $p$-adic fields, building on earlier work. The proof uses a special case of endoscopic lifting, adapted from the 1992 book by Adams, Barbasch and Vogan, where it was articulated for real groups.

Categories: math.RT, math.NT
Related articles: Most relevant | Search more
arXiv:1603.07716 [math.RT] (Published 2016-03-24)
A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$
arXiv:2412.06824 [math.RT] (Published 2024-12-06)
Whittaker normalization of $p$-adic ABV-packets and Vogan's conjecture for tempered representations
arXiv:2403.13995 [math.RT] (Published 2024-03-20)
Real groups, symmetric varieties and Langlands duality

Links

Toolbox