Stabilisation de la formule des traces tordue V: intégrales orbitales et endoscopie sur le corps réel

Jean-Loup Waldspurger (1)

1 IMJ - Institut de Mathématiques de Jussieu

It is one of a series of articles whose goal is to stabilize the twisted trace formula. In two previous papers, we have considered the stabilization of weighted orbital integrals over a non-archimedean local field. Here we consider the similar question over the real field. The principal result is the same: all expected properties are deduced from the stabilization of weighted orbital integrals relative to strongly regular elements.

Mots clés: weighted orbital integrals; twisted endoscopy

Domaines: Théorie des représentations [math.RT]; Théorie des nombres [math.NT]

Jean-Loup Waldspurger. Stabilisation de la formule des traces tordue V: intégrales orbitales et endoscopie sur le corps réel. 2014. ⟨hal-00975136⟩