Stable Conjugacy: Definitions and Lemmas
Stable Conjugacy: Definitions and Lemmas
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稳定共轭：定义和引理
DOI：
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发表时间：
1979
期刊：
影响因子：
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通讯作者：
R. Langlands
中科院分区：
文献类型：
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作者：
R. Langlands
本文的目的是介绍一些有用的概念，以便将迹公式应用于泛函原理的研究，包括基的变化，以及志村变的ζ函数的研究。为了避免令人不安的技术离题，我将在特征为零的域上使用约简群，但第二个假设只是为了方便，因为不可分性引起的问题并不严重。微量公式给我们带来的困难是多方面的。它们中的大多数是由商的非紧性引起的，我们在这里不讨论。其他的主要是算术，甚至在商是紧的情况下也会发生。为了了解它们是如何产生的，我们考虑一个典型的问题。
The purpose of the present note is to introduce some notions useful for applications of the trace formula to the study of the principle of functoriality, including base change, and to the study of zeta-functions of Shimura varieties. In order to avoid disconcerting technical digressions I shall work with reductive groups over fields of characteristic zero, but the second assumption is only a matter of convenience, for the problems caused by inseparability are not serious. The difficulties with which the trace formula confronts us are manifold. Most of them arise from the non-compactness of the quotient and will not concern us here. Others are primarily arithmetic and occur even when the quotient is compact. To see how they arise, we consider a typical problem.