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arXiv · 2502.01505

On depth-zero characters of p-adic groups

Maarten Solleveld·Yujie Xu
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Abstract

We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic groups, for groups that may be wildly ramified. We present several different definitions of ``depth-zero'' for characters, and show that these notions are in fact equivalent. These results are useful for proving new cases of local Langlands correspondences, in particular for depth zero representations.

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Maarten Solleveld, Yujie Xu. 2025-02-03. On depth-zero characters of p-adic groups. https://doi.org/10.4310/mrl.260614172949

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