论文标题
当地的兰兰兹书信
Local Langlands correspondences
论文作者
论文摘要
本文的第一部分是对任何旨在被视为“规范”的本地Langlands通信期望的属性的综述，以及为特定群体建立某些或全部这些属性的已知结果。在没有与全局对应关系的兼容性的情况下，通常不知道此所需属性列表足以表征对应关系。本文的其余部分概述了一种策略的要素，以证明附加到不可还原本地参数的$ l $包装是有限的，尤其是非空的，对于Genestier和Lafforgue构建的特定参数化是有限的，当$ f $是积极的特征时。
The first part of this article is a review of the properties expected of any local Langlands correspondence that aims to be considered "canonical," and of known results that establish some or all of these properties for specific groups. In the absence of compatibility with a global correspondence it is not known in general that this list of desirable properties suffices to characterize the correspondence. The remainder of the article outlines elements of a strategy to prove that the $L$-packets attached to irreducible local parameters are finite and non-empty, in particular, for the specific parametrization constructed by Genestier and Lafforgue when $F$ is of positive characteristic.
