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El. knyga: Genesis of the Langlands Program

Edited by (Purdue University, Indiana), Edited by (Fordham University, New York)
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"Robert Langlands' contributions to modern number theory, which is generally referred to as the "Langlands Program," has been visionary and ground breaking. The present volume is intended as homage to his early work in which the seeds of the program wereplanted. This volume covers the period from 1960 to 1967, during which Langlands defined many of the concepts that are basic to the program; at this time, he introduced some of his revolutionary ideas including the functoriality principle and his foundational work on Eisenstein series and Artin's L-functions. The period concludes with Langlands' famous letter to Andre Weil. The book is divided into five parts. Parts I, II, and II are a gathering of personal reflections written by a number of his friends and former students; Julia Mueller's Bulletin of the American Mathematical Society interview with Langlands is also included. Part IV is a collection of surveys on different aspects of Langlands' work that took place over the period, including different concepts. Part V consists of two"--

Recenzijos

'It is exciting to read this important book. It is a marvelous panorama of the life, work, and inspiration of Robert Langlands, as he discovered and developed his grand ideas, and as he guided his students. These ideas now largely shape the broad architecture of representation theory and automorphic forms, creating a grand bridge between analysis and arithmetic - with connections to mathematical physics. The contributors to this volume offer us - and will surely offer future historians of our mathematical age - a splendid introduction to, and overview of, the early days of Langlands' program.' Barry Mazur, Harvard University

Daugiau informacijos

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
List of Contributors
ix
Preface xi
Introduction xii
PART I REMEMBRANCE OF THINGS PAST
1(56)
1 A Glimpse at the Genesis of the Langlands Program
3(40)
Julia Mueller
2 The Early Langlands Program -- Personal Reflections
43(14)
Steve Gelbart
PART II LANGLANDS AS MENTOR
57(26)
3 Langlands and Turkey
59(6)
Cihan Saclioglu
4 Reminiscences by a Student of Langlands
65(5)
Thomas Hales
5 Graduate School with Langlands
70(4)
5 Ali Altug
6 My Unforgettable Early Years at the Institute: Enstitiide Unutulmaz Erken Yillanm
74(9)
Dinakar Ramakrishnan
PART III LANGLANDS AS FRIEND
83(24)
7 My Reminiscences of Bob Langlands at the University of British Columbia
85(3)
Alan Goodacre
8 Robert P. Langlands: l'homme derriere le mathematicien
88(12)
Claude Levesque
9 Un homme de culture et de nature
100(7)
Claude Picket
PART IV SURVEYS OF THE LANGLANDS PROGRAM -- EARLY YEARS
107(294)
10 An Introduction to Langlands Functoriality
109(21)
James Arthur
11 In the Beginning: Langlands' Doctoral Thesis
130(46)
Derek W. Robinson
12 The Langlands Spectral Decomposition
176(39)
Jean-Pierre Labesse
13 Automorphic Representations and L-Functions for GL(n)
215(60)
Dorian Goldfeld
Herve Jacquet
14 Automorphic L-Functions
275(26)
Freydoon Shahidi
15 Langlands Reciprocity: L-Functions, Automorphic Forms, and Diophantine Equations
301(86)
Matthew Emerton
16 On Some Early Sources for the Notion of Transfer in Langlands Functoriality: Part I An Overview with Examples
387(14)
Diana Shelstad
PART V LANGLANDS' CONTRIBUTIONS TO MATHEMATICAL PHYSICS
401
17 Robert Langlands' Work in Mathematical Physics
403(11)
Thomas Spencer
18 L'invariance conforme et l'universalite au point critique des modeles bidimensionnels
414
Yvan Saint-Aubin
Julia Mueller is a Professor of Mathematics at Fordham University. Her research is in certain areas of number theory, such as analytic number theory, Diophantine approximations, and Diophantine equations. Freydoon Shahidi is a Distinguished Professor of Mathematics at Purdue University. He is a member of the American Academy of Arts and Sciences and a fellow of the American Mathematical Society.
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