English

The FPP Conjecture for Real Reductive Groups

Representation Theory 2024-11-05 v1

Abstract

In this paper, we prove the FPP conjecture, giving a strong upper bound on the unitary dual of a real reductive group. Our proof is an application of the global generation properties of D\mathcal{D}-modules on the flag variety and their Hodge filtrations.

Keywords

Cite

@article{arxiv.2411.01372,
  title  = {The FPP Conjecture for Real Reductive Groups},
  author = {Dougal Davis and Lucas Mason-Brown},
  journal= {arXiv preprint arXiv:2411.01372},
  year   = {2024}
}
R2 v1 2026-06-28T19:46:05.684Z