The FPP Conjecture for p-adic Groups
Dihua Jiang, Baiying Liu, Chi-Heng Lo, Lucas Mason-Brown
公開日: 2025/9/22
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 $p$-adic groups. We prove our conjecture for pure rational forms assuming a version of the Local Langlands Correspondence.