Robert P. Langlands

A prologue to functoriality and reciprocity: Part 1

Author: 
Robert Langlands
Last Name: 
Langlands
Journal
Journal: 

Pacific Journal of Mathematics

Volume: 
260
Year: 
2012
Pages: 
583--663
Type: 
article
Keywords: 
Beyond Endoscopy

Author's comments: There is as yet no text with the title Functoriality and Reciprocity. Begun as preparations for a lecture, the text appearing here was, and remains, a first attempt to come to terms with the two topics of the title, an attempt that is perhaps doomed by its nature and by my years to remain provisional.

The renormalization fixed point as a mathematical object

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

Appeared in Twenty years of Bialowieza: A Mahtematical anthology, World Scientific Monograph Series in Mathematics

Volume: 
8
Year: 
2005
Pages: 
185--216
Publisher: 
World Scientific Publishing
Type: 
article
Keywords: 
Mathematical Physics
MathReview: 
2181552

Author's comments: This paper was prepared for a meeting in Bialowieza that I was unable at the last minute to attend. It has appeared in the proceedings of that conference, Twenty years of Bialowieza: A mathematical anthology. The paper was intended as a beginning.

School of Mathematics: 

Pages