A geometric construction of supercuspidal representations

Ben Liu; Sian Nie; Zhihang Yu

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arXiv · 2610.34326

A geometric construction of supercuspidal representations

Ben Liu·Sian Nie·Zhihang Yu

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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.

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Ben Liu, Sian Nie, Zhihang Yu. 2026-10-25. A geometric construction of supercuspidal representations. https://arxiv.org/abs/2610.34326

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