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Birkhäuser

An Introduction to the Langlands Program

  • Textbook
  • © 2004

Overview

  • Self-contained presentation
  • A variety of areas in number theory from the classical zeta function up to the Langlands program are covered
  • Exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program

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About this book

For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.

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Table of contents (12 chapters)

Reviews

From the reviews:

"The six chapters of this monograph give a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. First-year graduate students and researchers will benefit from this beautiful text."

--Zentralblatt Math

". . . the present volume constitutes the most readable entree into the subject to date, suitable both for serious reading and for browsing, and should attract a new generation to this exciting subject. . . . Recommended."

--CHOICE

“I suspect this book will find its way into the hands of many graduate students. Perhaps it will also motivate a few of them to learn more, get involved, and make their own contributions.” (MAA REVIEWS)

Editors and Affiliations

  • Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

    Joseph Bernstein

  • Department of Mathematics, The Weizmann Institute of Science, Rehovot, Israel

    Stephen Gelbart

Bibliographic Information

  • Book Title: An Introduction to the Langlands Program

  • Authors: D. Bump, J. W. Cogdell, E. Shalit, D. Gaitsgory, E. Kowalski, S. S. Kudla

  • Editors: Joseph Bernstein, Stephen Gelbart

  • DOI: https://doi.org/10.1007/978-0-8176-8226-2

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 2004

  • Softcover ISBN: 978-0-8176-3211-3Published: 20 May 2003

  • eBook ISBN: 978-0-8176-8226-2Published: 11 December 2013

  • Edition Number: 1

  • Number of Pages: IX, 281

  • Topics: Number Theory, Algebraic Geometry, Topological Groups, Lie Groups

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