论文标题
对简单的谎言组和格子分析
Analysis on simple Lie groups and lattices
论文作者
论文摘要
我们提出了一个简单的工具，可以与SL（N，R）和SL（N，Z）等组进行分析，该工具是由Vincent Lafforgue在其非单身代表的研究中引入的，该工具与Baum-Connes猜想和强属性（T）有关。后来已在各种情况下应用：操作员代数，傅立叶分析，Banach空间或动力学的几何形状。这个想法是首先限制紧凑型亚组，然后利用它们如何坐在整个组中。
We present a simple tool to perform analysis with groups such as SL(n,R) and SL(n,Z), that has been introduced by Vincent Lafforgue in his study of non-unitary representations, in connection with the Baum-Connes conjecture and strong property (T). It has been later applied in various contexts: operator algebras, Fourier analysis, geometry of Banach spaces or dynamics. The idea is to first restrict to compact subgroups and then exploit how they sit inside the whole group.
