The Thursday afternoon and Friday morning seminars

In the fall of 1983 Langlands and others held a seminar at the Institute for Advanced Study (Princeton) on Thursday afternoons, and Langlands and Jean-Pierre Labesse ran a seminar Friday mornings on the twisted trace formula. Almost all of thelectures were written up,' and what i posted here are scans of the originals, made by Alice Garber at the IAS.

There was at one time thoughts of turning the scans to \TeX, but that is no longer under discussion. There are several errors in the Friday morning lectures, although none crippling. Corrected versions were later incorporated into the book La formule des traces tordue d’après le Friday Morning Seminar by Jean-Pierre Labesse and Jean-Loup Waldspurger. Nonetheless, the original proceedings can be profitable to read.

Thursday afternoon

The complete set

Individual lectures

The structure of trace formulas and their comparison (Langlands)
Orbital integrals of spherical functions (Jonathan Rogawski)
Preliminary facts about unitary groups in three variables (Jonathan Rogawski
Stable conjugacy, stable trace formula (Jonathan Rogawski)
Division algebras I (Langlands)
On the global correspondence between GL(n) and division algebras (Marie-France Vigneras)
Division algebras III (Langlands)
The hyperbolic terms for SL(3) and SU(3) (Langlands)

Friday morning

The complete set

Individual lectures

Lecture 1 Introduction (Langlands)
Lecture 2 The basic identity proved (Langlands)
Lecture 3 The coarse O-expansion (Labesse)
Lecture 4 Absolute convergence of the coarse O-expansion (Labesse)
Lecture 5 Oexpansion and weighted orbital integrals (Labesse)
Lecture 6 Properties of the truncation operator (Langlands)
Lecture 7 Preparation for the coarse Chi-expansion I. Statement of Lemmas (Langlands)
Lecture 8 Preparation for the coarse Chi-expansion I. Proof of the Lemmas (Langlands)
Lecture 9 The modified basic identity and weighted orbital integrals (Labesse)
Lecture 12 The inner product formula (Labesse)
Lecture 13 Some formal properties of the terms in the trace formula (Labesse)
Lecture 15 The fine Chi-expansion (Langlands)