Robert P. Langlands

Message to Peter Sarnak

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.

School of Mathematics: 

Messages to Mueller and Volpato

Year: 
December 22, 2013, December 27, 2013
Type: 
article

Author's comments: These two letters were, in fact, electronic messages and were written very recently, in December, 2013. They were inspired by a conversation with Julia Mueller and Michael Volpato, in which I tried to explain to them the origins of the general definition of automorphic \(L\)-functions.

School of Mathematics: 

An Appreciation

Author: 
Robert Langlands
Last Name: 
Langlands
Type: 
article

Editorial comments: This essay was first posted here on December 20, 2013. The latest version dates to May 16, 2014.

Publication Type: 
Publications
School of Mathematics: 

Euclid's windows and our mirrors - review of Euclid's Window by Leonard Mlodinow

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

Notices of the American Mathematical Society

Year: 
2002
Type: 
article
Keywords: 
Miscellaneous


Portrait engraved by van Schooten the younger, editor and translator of the Latin edition of La géometrie.
Descartes said of it, "La barbe & les habits ne ressemblent aucunement."
(From the Rosenwald Collection at the Institute in Princeton)

School of Mathematics: 

The trace formula and its applications (an introduction to the work of James Arthur)

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

Canadian Mathematics Bulletin

Volume: 
20
Year: 
2001
Type: 
article
Keywords: 
Miscellaneous
MathReview: 
2002e:22024

Jim Arthur at the Institute for Advanced Study, April 2001

Jim Arthur lecturing at a Conference on Automorphic Forms at the Institute for Advanced Study, April 7, 2001(Photograph by C.J. Mozzochi)

 

School of Mathematics: 

Interview with Farzin Barekat for the University of British Columbia

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

Authors's comments: These are my responses to questions of Farzin Barekat, a graduate student at the University of British Columbia, where I was an undergraduate student for four years and a graduate student for one year. The questions and my responses were transmitted electronically. An abbreviated version of my responses will be published in a newsletter of the mathematics department of the university.

School of Mathematics: 

Pour la science

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

Une façon de faire la théorie des nombres

Year: 
2007
Type: 
article
Keywords: 
Miscellaneous

Author's comments: The following article appeared in novembre, 2007 in the popular scientific review, Pour la Science, but in a version slightly revised by the editors and their consultants for expository purposes and with diagrams added. I am sure the revised form is indeed easier for a layman to understand, but some assessments were added that are not mine. Rather than interfere with the editors' difficult task of turning arcane material into something meaningful to their readers, I let the revised version stand.

School of Mathematics: 

The Shaw prize

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

On Certain \(L\)-Functions: A Volume in Honor of Freydoon Shahidi on the Occasion of his 60th Birthday

Type: 
article
Keywords: 
Miscellaneous

Author's comments: The following three documents were composed on the receipt of the Shaw Prize in 2007. They have appeared or will appear in publications of the Shaw Foundation. The first two, a very brief autobiography and a slightly longer memoir, need no explanation. They are informal. So is the third, an attempt to explain clearly the nature of what is often referred to as the Langlands program.

School of Mathematics: 

Laudatio on the occasion of an award to Günter Harder

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

Author's comments: The following brief discourse was delivered in Erlangen in October, 2004, on the occasion of the award of the Karl Georg Christian von Staudt-Preis to Günter Harder. It does not do justice to his many contributions to mathematics, but does attempt to express my great admiration of him and my great respect for the passion and the tenacity with which he continues to reflect on what seem to me some of the central problems of the modern theory of numbers.

School of Mathematics: 

Benim tanıdığım Cahit Arf (recollections of a year in Turkey with Cahit Arf)

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

Matematik Dünyası

Year: 
2003
Type: 
article
Keywords: 
Miscellaneous

Author's comments: This note contains a few recollections of a year I spent in Turkey in 1967/68, where my office was adjacent to that of Cahit Arf, known, among other things, for the Hasse-Arf theorem and the Arf invariant. It was he who referred me -- as I was first attempting to define local \(\epsilon\)-factors for Artin \(L\)-functions -- to the paper of Hasse published in the Acta Salmanticensia. Hasse's paper was my first introduction to the methods that had already been introduced for calculating and comparing the \(\epsilon\)-factors.

School of Mathematics: 

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