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A geometric construction of supercuspidal representations
Abstract
We extend the framework of deep level Deligne-Lusztig varieties to the case of arbitrary residue characteristics p > 0. As an application, we provide a construction of a large class of (new) supercuspidal representations for unramified p-adic groups with arbitrary residue fields, in a purely geometric way.
Related
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- Descriptor representations of geometric port-Hamiltonian systems on Hilbert spaces
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BibTeX
@misc{liu2026geometric,
title = {{A geometric construction of supercuspidal representations}},
author = {Ben Liu and Sian Nie and Zhihang Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34326},
eprint = {2610.34326},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34326},
}
RIS
TY - UNPB
TI - A geometric construction of supercuspidal representations
AU - Ben Liu
AU - Sian Nie
AU - Zhihang Yu
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34326
UR - https://arxiv.org/abs/2610.34326
AB - We extend the framework of deep level Deligne-Lusztig varieties to the case of arbitrary residue characteristics p > 0. As an application, we provide a construction of a large class of (new) supercuspidal representations for unramified p-adic groups with arbitrary residue fields, in a purely geometric way.
ER -