La formule des traces tordue d'apr\`es le Friday Morning Seminar avec un erratum

TL;DR

This paper provides a comprehensive and detailed proof of the primitive noninvariant twisted trace formula, based on seminar notes from the IAS in 1983-1984, including an added preface by Langlands and an erratum.

Contribution

It offers a complete proof of the twisted trace formula in its primitive form, expanding on seminar notes with additional commentary and corrections.

Findings

Complete proof of the twisted trace formula in primitive form

Inclusion of Langlands' preface and an erratum

Clarification of the noninvariant case

Abstract

Based on the notes of the Friday Morning Seminar held in the IAS in 1983-1984 (often quoted as Morning Seminar on the Trace Formula), we give a complete and detailed proof of the Twisted Trace Formula in its primitive form i.e. its noninvariant form. The Avant-propos by Langlands and an erratum have been added. -- Notre ambition est de donner, en nous basant pour l'essentiel sur les notes du Friday Morning Seminar de l'IAS en 1983-1984 (souvent cit\'e sous le nom de Morning Seminar on the Trace Formula), une version compl\`ete de la preuve de la formule des traces dans le cas tordu dans sa version primitive c'est-\`a-dire non invariante. L'Avant-propos par Langlands et un erratum ont \'et\'e ajout\'es.