An introduction to the Langlands program
著者
書誌事項
An introduction to the Langlands program
Birkhäuser, c2003
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注記
"The 12 chapters presented in this book are based on lectures that were given in the School of Mathematics of the Institute for Advanced Studies at the Hebrew University of Jersalem, March 12-16, 2001."-pref
内容説明・目次
内容説明
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.
目次
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
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