论文标题
当地Langlands对应的表征的方法
An Approach to the Characterization of the Local Langlands Correspondence
论文作者
论文摘要
在本文中，我们提供了一种表征Scholze本地Langlands替代证明的本地Langlands猜想的方法。更具体地说，我们表明，如果局部的兰兰兹对应关系满足scholze- shin方程，例如在Scholze和Shin的论文中，除了预期这种对应关系的通常的desiderata之外，这些特性则独特地表征了对应关系。
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.
