Automorphic forms and the Langlands program
Author(s)
Bibliographic Information
Automorphic forms and the Langlands program
（Advanced lectures in mathematics / executive editors, Shing-Tung Yau, Kefeng Liu, Lizhen Ji, 9）
International Press , Higher Education Press, c2010
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Available at / 17 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: [pbk.]/J 562080233798
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Note
Includes bibliographical references
Description and Table of Contents
Description
Classical modular forms on the upper half plane, with respect to the modular group SL(2,Z) and its congruence subgroups, have arisen naturally in number theory, complex analysis, topology, mathematical physics, and many other subjects. The closely related automorphic representations are basic notions in the celebrated Langlands program, which was proposed by Langlands in the late 1960s and has since revolutionized the fields of number theory, arithmetic algebraic geometry, and representation theory. This volume consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program.
Table of Contents
Prerequisites for the Langlands Program - A. W. Knapp
First Steps with the Langlands Program - A. W. Knapp
Class Field Theory, the Langlands Program and its Application to Number Theory - Stephen S. Gelbart
Automorphic Forms and Automorphic Representations - Wee Teck Gan
Introductory Notes on the Trace Formula - Erez M. Lapid
Euler Products and Twisted Euler Products - Solomon Friedberg
Arithmetic Trace Formulas and Kloostermania - Xiaoqing Li
Tempered Endoscopy for Real Groups II: Spectral Transfer Factors - D. Shelstad
Algebraic Birkhoff Decomposition and Its Applications - Li Guo
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