Robert P. Langlands

The genesis and gestation of functoriality

Submitted by apulido on

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Year: 
2005
Type: 
article

Author's comments: The text on the genesis and gestation of functoriality was for an informal lecture at the Tata Institute of Fundamental Research in Bombay delivered on short notice at the suggestion of Venkataraman. It has been suggested to me that the first four pages, a brief summary of the development of the theory of automorphic forms before 1960, roughly as it affected my initial reflections, manage to be simultaneously trite and eccentric and might be best omitted.

IAS: 
Robert P. Langlands

Robert Langlands'tan Türk Okurlarına Mektup

Submitted by apulido on

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article

Author's comments: This essay, entitled "A letter to Turkish readers from Robert Langlands" appears in the Turkish translation of the extremely popular book "Love and Math" by Edward Frenkel. It does not refer to the book but comments in an informal manner on my relations with Turkey and Turkish mathematicians. The two photographs were taken by the Turkish authorities when we applied for a residence permit for a year's stay in 1967/68. I am very fond of the one with the children.

IAS: 
Robert P. Langlands

Introduction to a book of Labesse-Waldspurger

Submitted by apulido on

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article

Author's comments: The book La formule des traces tordue needed no introduction from me, but I did write it at the authors' request, in part because I was troubled by the circumstances of its appearance. I have, I believe, as a mathematician led a much richer intellectual life than the circumstances of my childhood would have normally permitted. So I am distressed by the diminishing possibilities of our profession and cannot always resist expressing my uneasiness and disappointment in a somewhat dyspeptic voice.

Publication Type: 
Publications
IAS: 
Robert P. Langlands
School of Mathematics: 
Math

Introduction

Author's comments: Problems of endoscopy first arose as I began the study of Shimura varieties in Bonn during the academic year 1970/71. I reflected on them for a long time, in part in collaboration with Labesse, in part in collaboration with Shelstad. I presented a fairly mature form of my reflections in the Paris lectures, Les débuts d'une formule des traces stable, in which the presence of a major obstacle, overcome considerably later through the efforts of a number of mathematicians, in particular Waldspurger and Ngô, was clearly described.

IAS: 
Robert P. Langlands
School of Mathematics: 
Math

Message to Peter Sarnak

Submitted by apulido on

Year: 
February 18, 2014
Type: 
article

Author's comments (Apr. 6, 2014): The concept ``Langlands program'' appears in the title of an article by Stephen Gelbart in the BAMS of April, 1984, but Gelbart himself assured me that it was already current, at least orally, before then. He also drew my attention to a phrase of Armand Borel in his Bourbaki seminar of June, 1975, ``plutôt un vaste programme, élaboré par R. P. Langlands depuis environ 1967.'' I do not recall that I was uneasy with the phrase ``Langlands program'' in 1984, but it then referred principally to matters on which I myself had long reflected.

IAS: 
Robert P. Langlands
School of Mathematics: 
Math

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