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arXiv · 2003.11484

An Approach to the Characterization of the Local Langlands Correspondence

Alexander Bertoloni Meli·Alex Youcis
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Abstract

In this paper, we give a method for characterizing the local Langlands conjectures in the vein of Scholze's alternate proof of the local Langlands conjecture for $\mathrm{GL}_n$. More specifically, we show that if a local Langlands correspondence satisfies a Scholze--Shin equation, as in the paper of Scholze and Shin, in addition to the usual desiderata expected of such a correspondence then these properties uniquely characterize the correspondence.

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Alexander Bertoloni Meli, Alex Youcis. 2020-03-25. An Approach to the Characterization of the Local Langlands Correspondence. https://arxiv.org/abs/2003.11484

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