Skip to main content
SpringerLink
Log in
Birkhäuser

An Introduction to the Langlands Program

  • Textbook
  • © 2004

Overview

Authors:
  1. D. Bump
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. J. W. Cogdell
    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. E. Shalit
    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. D. Gaitsgory
    View author publications

    You can also search for this author in PubMed   Google Scholar

  5. E. Kowalski
    View author publications

    You can also search for this author in PubMed   Google Scholar

  6. S. S. Kudla
    View author publications

    You can also search for this author in PubMed   Google Scholar

Editors:
  1. Joseph Bernstein

    1. Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Stephen Gelbart

    1. Department of Mathematics, The Weizmann Institute of Science, Rehovot, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (12 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Elementary Theory of L-Functions I

    • E. Kowalski
    Pages 1-20

  3. Elementary Theory of L-Functions II

    • E. Kowalski
    Pages 21-37

  4. Classical Automorphic Forms

    • E. Kowalski
    Pages 39-71

  5. Artin L Functions

    • Ehud de Shalit
    Pages 73-87

  6. L-Functions of Elliptic Curves and Modular Forms

    • Ehud de Shalit
    Pages 89-108

  7. Tate’s Thesis

    • Stephen S. Kudla
    Pages 109-131

  8. From Modular Forms to Automorphic Representations

    • Stephen S. Kudla
    Pages 133-151

  9. Spectral Theory and the Trace Formula

    • Daniel Bump
    Pages 153-196

  10. Analytic Theory of L-Functions for GL n

    • J. W. Cogdell
    Pages 197-228

  11. Langlands Conjectures for GL n

    • J. W. Cogdell
    Pages 229-249

  12. Dual Groups and Langlands Functoriality

    • J. W. Cogdell
    Pages 251-268

  13. Informal Introduction to Geometric Langlands

    • D. Gaitsgory
    Pages 269-281
Back to top

Keywords

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.

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

Publish with us

Policies and ethics

Back to top

Search

Navigation