Math

Introduction to a book of Labesse-Waldspurger

Submitted by apulido on Tue, 2014-03-18 11:14

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

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A Letter to Weil, part 2

Submitted by apulido on Mon, 2014-03-17 16:51

Year:

1967

Type:

article

IAS:

Robert P. Langlands

School of Mathematics:

Math

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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

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Message to Peter Sarnak

Submitted by apulido on Mon, 2014-03-17 14:18

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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2014 - Families of L-Functions and their Symmetry (with S. W. Shin and N. Templier)

Submitted by dloring on Wed, 2014-02-26 16:49

Author:

Peter Sarnak

Sug Woo Shin

Nicolas Templier

Type:

article

IAS:

Peter Sarnak

School of Mathematics:

Math

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2013 - Topologies of Nodal Sets of Random Band Limited Functions (with I. Wigman)

Submitted by dloring on Wed, 2014-02-26 16:39

Author:

Peter Sarnak

Igor Wigman

Type:

article

IAS:

Peter Sarnak

School of Mathematics:

Math

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Two Messages to Mueller and Volpato

Submitted by apulido on Thu, 2014-01-30 17:32

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.

IAS:

Robert P. Langlands

School of Mathematics:

Math