Bernstein / Gelbart An Introduction to the Langlands Program

2004
ISBN: 978-0-8176-8226-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 281 Seiten, eBook

This book presents 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. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

Zielgruppe

Research

Autoren/Hrsg.

Bernstein, Joseph

Gelbart, Stephen

Weitere Mitwirkende

Kudla, S.S.

Kowalski, E.

Shalit, E. de

Gaitsgory, D.

Cogdell, J.W.

Bump, D.

Inhaltsverzeichnis

Preface * E. Kowalski - Elementary Theory of L-Functions I * E. Kowalski - Elementary Theory of L-Functions II * E. Kowalski - Classical Automorphic Forms * E. DeShalit - Artin L-Functions * E. DeShalit - L-Functions of Elliptic Curves and Modular Forms * S. Kudla - Tate's Thesis * S. Kudla - From Modular Forms to Automorphic Representations * D. Bump - Spectral Theory and the Trace Formula * J. Cogdell - Analytic Theory of L-Functions for GLn * J. Cogdell - Langlands Conjectures for GLn * J. Cogdell - Dual Groups and Langlands Functoriality * D. Gaitsgory - Informal Introduction to Geometric Langlands