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arXiv · 1605.00511

Geometric approach to the explicit local Langlands correspondence

Yoichi Mieda
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Abstract

We propose a geometric strategy of giving explicit description of the Langlands parameter of an irreducible supercuspidal representation of GL(n) over a non-archimedean local field. The key is to compare the cohomology of an affinoid in the Lubin-Tate space at infinite level and that of the reduction of its formal model. As examples, we treat the cases of depth 0 supercuspidal representations and simple supercuspidal representations.

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Yoichi Mieda. 2016-05-02. Geometric approach to the explicit local Langlands correspondence. https://arxiv.org/abs/1605.00511

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