论文标题
加入分类和应用程序[Einsiedler和Lindenstruass之后]
Joinings classification and applications [after Einsiedler and Lindenstruass]
论文作者
论文摘要
这是我的布尔巴基研讨会上关于Einsiedler和Lindenstrauss在Joinings的工作的文字。前五个部分调查了他们对半岛或完美代数群体算术商的高级圆环作用的结合的证明。最后一部分调查了如何使用此分类来解决算术问题，以及针对高级简单组的新应用程序。
This is the text accompanying my Bourbaki seminar on the work of Einsiedler and Lindenstrauss on joinings. The first five sections surveys their proof of the classification of joinings of higher-rank torus actions on arithmetic quotients of semisimple or perfect algebraic groups. The last section surveys how this classification can be used to tackle arithmetic problems, together with a new application for higher rank simple groups.
