Stabilisation de la formule des traces tordue III: int\'egrales orbitales et endoscopie sur un corps local non-archim\'edien; r\'eductions et preuves

Abstract

This is one of a series of articles, in collaboration with C. Moeglin, whose goal is to stabilize the twisted trace formula. In the previous article, we have stated several assertions about the stabilization of weighted orbital integrals over a non-archimedean field. Those integrals depend on a conjugacy class in our twisted space. Here we deduce all these assertions from a unique one, where the conjugacy class is assumed to be strongly regular.