Endoscopy

Canadian Journal of Mathematics311979
MathReview: 81b:22017
Canadian Journal of Mathematics311979
MathReview: 82j:10054
Publications mathématiques de l'Université Paris VII1979
MathReview: 85d:11058

Auhor's comments:Although I have the feeling of having left unfinished almost every mathematical project undertaken, the study of endoscopy and the stabilized trace formula was, in this respect, one of the most unsatisfactory of all. It went on for a very long time without reaching any very cogent conclusions. This now seems with hindsight to have been inevitable. The efforts of a number of excellent mathematicians make it clear that the problems to be solved, many of which remain outstanding, were much more difficult than I appreciated. In particular, the fundamental lemma which is introduced in these notes, is a precise and purely combinatorial statement that I thought must therefore of necessity yield to a straightforward analysis. This has turned out differently than I foresaw.

Without the kind invitation of Marie-France Vignéras to deliver lectures at the École normale supérieure de jeunes filles, I would never have attempted to communicate the inchoate results at my disposition and I would have continued, no doubt unsuccessfully, to struggle with problems, both local and global, that were beyond me. The lectures were an occasion to clarify and organize the few ideas that I had, and have served as a stimulus to other, more competent, investigators.

Bulletin of the American Mathematical Society49 (1)169-179January 2012

Author's comments: This note was written for Mathematical Reviews, but it is of more interest for me than a simple review would have been because I came to understand on writing it and reflecting on its contents that perverse sheaves are likely to have much more import for nonabelian harmonic analysis in the sense of Harish-Chandra than I had previously appreciated.

American Journal of Mathematics105-411983
MathReview: 86d:22012
Lie group representations II, Lecture Notes in Mathematics411984
MathReview: 86b:11082
Canadian Journal of Mathematics41-271989
MathReview: 91i:22022
Mathematischen Annalen278-521987
MathReview: 89c:11172
The Grothendieck Festschrift2-771990
MathReview: 92i:22016
The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Montréal1992
MathReview: 93e:22036
Number theory, trace formulas, and discrete groups1987
MathReview: 90e:11077

Letters

Letter to Singer

1974
[ rl-singer.pdf ]