The FPP Conjecture for p-adic Groups
Representation Theory
2025-09-24 v1
Abstract
The FPP conjecture, proposed by J. Adams, S. Miller, and D. Vogan and proved by D. Davis and L. Mason-Brown in arXiv:2411.01372, imposes a strong upper bound on the infinitesimal character of a unitary representation of a real reductive group. In this paper, we formulate an analogous conjecture for -adic groups. We prove our conjecture for pure rational forms assuming a version of the Local Langlands Correspondence.
Cite
@article{arxiv.2509.18320,
title = {The FPP Conjecture for p-adic Groups},
author = {Dihua Jiang and Baiying Liu and Chi-Heng Lo and Lucas Mason-Brown},
journal= {arXiv preprint arXiv:2509.18320},
year = {2025}
}