Math

Beyond endoscopy

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Contributions to Automorphic Forms, Geometry, and Number Theory: A Volume in Honor of Joseph Shalika

Year: 
2004
Publisher: 
Johns Hopkins University Press
Type: 
article
Keywords: 
Beyond Endoscopy
MathReview: 
2058622

Author's comments: This paper has appeared in the Shalika volume, published by the Johns Hopkins University Press. The published paper is not exactly the same as that here because the text was modified by the Press, apparently for reasons of economy. Among other things footnotes were removed and this required somewhat brutal measures. The version in this collection is the preferred version.

School of Mathematics: 

Representations of abelian algebraic groups

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Pacific Journal of Mathematics

Volume: 
181
Year: 
1997
Pages: 
231-250
Type: 
article
Keywords: 
Functoriality
MathReview: 
1610871

Editorial comments: This first appeared in mimeographed notes dated 1968 available from the Mathematics Department of Yale University. It was reprinted in the issue of the Pacific Journal of Mathematics dedicated to the memory of Olga Taussky-Todd (volume 181 (1997), pp. 231-250).

School of Mathematics: 

Letter to Serre

Year: 
March 15, 1968
Type: 
article
Keywords: 
Functoriality

Editorial comments: Langlands spent 1967-68 visiting in Ankara, Turkey, and while there wrote this letter to Serre. In it occurs for the first time the question of how to account for `special' representations of the Galois group, such as at primes where an elliptic curve has unstable bad reduction, corresponding to special representations of \(\mathrm{GL}_2\). This correspondence was later expanded to the Deligne-Langlands conjecture, proven eventually by Kazhdan and Lusztig.

School of Mathematics: 

Pages