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arXiv · 2504.07482

Tame categorical local Langlands correspondence

Xinwen Zhu
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Abstract

In one of our previous articles, we outlined the formulation of a version of the categorical arithmetic local Langlands conjecture. The aims of this article are threefold. First, we provide a detailed account of one component of this conjecture: the local Langlands category. Second, we aim to prove this conjecture in the tame case for quasi-split unramified reductive groups. Finally, we will explore the first applications of such categorical equivalence.

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Xinwen Zhu. 2025-04-10. Tame categorical local Langlands correspondence. https://arxiv.org/abs/2504.07482

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