Tordue轨迹公式的稳定性I:局部内窥镜Tordue
Stabilisation de la formule des traces tordue I: endoscopie tordue sur un corps local
摘要:
这是第一个一系列的文件致力于稳定的扭曲轨迹公式。这只是一个介绍。我们提出了扭转内窥镜的局部理论,Kottwitz-Shelstad,Labesse和Shelstad的基本工作。我们的介绍部分是新的,因为我们试图给出基本对象的规范定义,这些对象通常使用辅助数据定义。我们还证明了一些关于内窥镜转移的图像和关于支持是稳定共轭类的有限集的稳定分布的对偶转移的结果。
英文摘要:
This is the first of a series of papers devoted to the stabilization of the twisted trace formula. It is just an introduction. We present the local theory of twisted endoscopy, following the fundamental works of Kottwitz-Shelstad, Labesse and Shelstad. Our presentation is partly new because we try to give canonical definitions of the basic objects, which are more usually defined using auxiliary data. We prove also some results about the image of endoscopic transfer and about the dual transfer of stable distributions whose support is a finite set of stable conjugacy classes.
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