The Genesis of the Langlands Program

Front Cover
Julia Mueller, Freydoon Shahidi
Cambridge University Press, Aug 5, 2021 - Mathematics - 450 pages
Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
 

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Contents

The Early Langlands Program Personal Reflections
43
Langlands and Turkey
59
Enstitude
74
lhomme derriere le mathematicien
88
Un homme de culture et de nature
100
An Introduction to Langlands Functoriality
109
Langlands Doctoral Thesis
130
The Langlands Spectral Decomposition
176
Automorphic Representations and LFunctions for GLn Dorian Goldfeld and Herve Jacquet
215
Automorphic LFunctions
275
LFunctions Automorphic Forms
301
On Some Early Sources for the Notion of Transfer
387
Robert Langlands Work in Mathematical Physics
403
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About the author (2021)

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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