PreprintarXiv licencearXiv
The Local Ghost Theorem in the Très Ramifié Case
Abstract
Let p≥ 11 and let ρ̅ be a très ramifié representation. For a primitive projective-augmented module of the corresponding type, we prove the très ramifié analogues of the local results of Liu-Truong-Xiao-Zhao and thereby establish the local ghost conjecture in this case. The main difference here is that the Iwahori dimension increases by one between consecutive relevant classical weights and may therefore be odd. Accordingly, the proof of the near-Steinberg results must treat both integral and half-integral centres.
Related
- Local definable (p,q)-theorem and a refinement
- Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows
- A finite Livshits theorem and local length spectrum rigidity
- On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum
- A Local Fourier-Transform Proof of Offen's Spherical Transfer Theorem
BibTeX
@misc{wang2026local,
title = {{The Local Ghost Theorem in the Très Ramifié Case}},
author = {Liyan Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.16714},
eprint = {2609.16714},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16714},
}
RIS
TY - UNPB
TI - The Local Ghost Theorem in the Très Ramifié Case
AU - Liyan Wang
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2609.16714
UR - https://arxiv.org/abs/2609.16714
AB - Let p≥ 11 and let ρ̅ be a très ramifié representation. For a primitive projective-augmented module of the corresponding type, we prove the très ramifié analogues of the local results of Liu-Truong-Xiao-Zhao and thereby establish the local ghost conjecture in this case. The main difference here is that the Iwahori dimension increases by one between consecutive relevant classical weights and may therefore be odd. Accordingly, the proof of the near-Steinberg results must treat both integral and half-integral centres.
ER -