Robert P. Langlands

Representations of abelian algebraic groups

Submitted by admin on

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).

IAS: 
Robert P. Langlands
School of Mathematics: 
Math

Letter to Serre

Submitted by admin on

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.

IAS: 
Robert P. Langlands
School of Mathematics: 
Math

Formule des traces et fonctorialité: Le début d'un programme

Submitted by admin on

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

Annales des Sciences Mathematiques du Quebec

Volume: 
34
Year: 
2010
Type: 
article
Keywords: 
Beyond Endoscopy
MathReview: 
2779866

Author's comments: The most important point for the innocent or inexperienced reader of this paper to understand is that it is the stable trace formula that is here invoked. The stable trace formula, introduced many years ago in the reference [L2], developed and applied in the references [K1], [K2], [K3] and, more recently, in a very systematic way and to extremely good effect in [A2], is what allows the introduction of the Steinberg-Hitchin base and of the Poisson summation formula.

IAS: 
Robert P. Langlands
School of Mathematics: 
Math

Pages