The Genesis of the Langlands Program

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Julia Mueller (Fordham University, New York) Freydoon Shahidi (Purdue University, Indiana)

The Genesis of the Langlands Program

Julia Mueller (Fordham University, New York), Freydoon Shahidi (Purdue University, Indiana)

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English

Cambridge University Press
12 August 2021

Algebra; Number theory; Geometry; Topology

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Julia Mueller (Fordham University New York), Freydoon Shahidi (Purdue University, Indiana)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 152mm, Spine: 26mm
Weight: 670g
ISBN: 9781108710947
ISBN 10: 1108710948
Series: London Mathematical Society Lecture Note Series
Pages: 450
Publication Date: 12 August 2021
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Reviews for The Genesis of the Langlands Program

'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