Overview

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.

Full Product Details

Author:   Lizhen Ji ,  Kefeng Liu ,  Shing-Tung Yau ,  Zhu-Jun Zheng
Publisher:   International Press of Boston Inc
Imprint:   International Press of Boston Inc
Edition:   New ed.
ISBN:  

9781571461414

ISBN 10:   1571461418
Pages:   229
Publication Date:   30 April 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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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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Lizhen Ji is at the University of Michigan.

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