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arXiv · 2509.18320

The FPP Conjecture for p-adic Groups

Dihua Jiang·Baiying Liu·Chi-Heng Lo·Lucas Mason-Brown
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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.

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Dihua Jiang, Baiying Liu, Chi-Heng Lo, Lucas Mason-Brown. 2025-09-22. The FPP Conjecture for p-adic Groups. https://arxiv.org/abs/2509.18320

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