Endoscopy

\(L\)-indistinguishability for \(\mathrm{SL}(2)\)

Author: 
Robert P. Langlands
AttachmentSize
PDF icon ll-ps.pdf432.95 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Canadian Journal of Mathematics

Volume: 
31
Year: 
1979
MathReview: 
81b:22017
School of Mathematics: 

Stable conjugacy-definitions and lemmas

Author: 
Robert P. Langlands
AttachmentSize
PDF icon StableConj-ps.pdf210.68 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Canadian Journal of Mathematics

Volume: 
31
Year: 
1979
MathReview: 
82j:10054
School of Mathematics: 

Les débuts d'une formule des traces stable

Author: 
Robert P. Langlands
AttachmentSize
PDF icon traces-ps.pdf1004.32 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Publications mathématiques de l'Université Paris VII

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.

Year: 
1979
MathReview: 
85d:11058
School of Mathematics: 

Le lemme fondamental pour les algébres de Lie

Author: 
Robert Langlands
AttachmentSize
PDF icon review.pdf85.28 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Bulletin of the American Mathematical Society

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.

Volume: 
49 (1)
Year: 
January 2012
Pages: 
169-179

Orbital integrals on forms of \(\mathrm{SL}(3)\) I

Author: 
Robert P. Langlands
AttachmentSize
PDF icon orb-ps.pdf299.98 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

American Journal of Mathematics

Volume: 
105
Year: 
1983
MathReview: 
86d:22012
Pages: 
-41
School of Mathematics: 

On principal values on \(p\)-adic manifolds

Author: 
Robert P. Langlands
AttachmentSize
PDF icon prin2-ps.pdf245.45 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Lie group representations II, Lecture Notes in Mathematics

Volume: 
41
Year: 
1984
MathReview: 
86b:11082
School of Mathematics: 

Orbital integrals on forms of \(\mathrm{SL}(3)\) II

Author: 
Robert P. Langlands
AttachmentSize
PDF icon orb2-ps.pdf220.14 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Canadian Journal of Mathematics

Volume: 
41
Year: 
1989
MathReview: 
91i:22022
Pages: 
-27
School of Mathematics: 

On the definition of transfer factors

Author: 
Robert P. Langlands
AttachmentSize
PDF icon trans-ps.pdf488.26 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

Mathematischen Annalen

Volume: 
278
Year: 
1987
MathReview: 
89c:11172
Pages: 
-52
School of Mathematics: 

Descent for transfer factors

Author: 
Robert P. Langlands
AttachmentSize
PDF icon groth-ps.pdf531.24 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

The Grothendieck Festschrift

Volume: 
2
Year: 
1990
MathReview: 
92i:22016
Pages: 
-77
School of Mathematics: 

Remarks on Igusa theory and real orbital integrals

Author: 
Robert P. Langlands
AttachmentSize
PDF icon igusa-ps.pdf119.8 KB
Type: 
article
Keywords: 
Endoscopy
Journal: 

The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Montréal

Year: 
1992
MathReview: 
93e:22036
School of Mathematics: 

Eisenstein series, the trace formula, and the modern theory of automorphic forms

Author: 
Robert P. Langlands
AttachmentSize
PDF icon eisen6.pdf222.3 KB
Type: 
article
Keywords: 
Endoscopy
Abstract: 

Journal: 

Number theory, trace formulas, and discrete groups

Year: 
1987
MathReview: 
90e:11077
School of Mathematics: 

Letter to Singer

Keywords: 
Endoscopy
AttachmentSize
PDF icon rl-singer.pdf98.9 KB
Type: 
article
Year: 
1974
School of Mathematics: