Algèbre de Hecke基本原理几何学
Géométrisation du lemme fondamental pour l'algèbre de Hecke
摘要：
本文是关于Hitchin-Frenkel-Ngo纤维化和Vinberg半群的系列文章之\cite{Bt1} - \cite{Bt2}的第三篇。Ngo \cite{N}证明了李代数在等特征上的基本引理，作为几何稳定化的结果.本文给出了Frenkel和Ngo \cite{FN}证明的群情形的几何稳定性。在证明过程中，我们建立了轨道积分之间的一个恒等式，类似于Langlands-Shelstad基本引理。从这个等式，我们推出了一个公式的Langlands-Shelstad转移因子，这是以前只知道李代数。
英文摘要：
This article is the third one of the series \cite{Bt1}-\cite{Bt2} on Hitchin-Frenkel-Ngo fibration and Vinberg semigroup. Ngo \cite{N} proved the fundamental lemma for Lie algebras in equal characteristics as a consequence of geometric stabilization. This article show the geometric stabilization in the group case which was conjectured by Frenkel and Ngo \cite{FN}. Along the proof, we establish an identity between orbital integrals, which is analog to Langlands-Shelstad fundamental lemma. From this equality, we deduce a formula for Langlands-Shelstad transfer factors which was previously only known for Lie algebras.
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