Automorphic Forms and the Langlands Program (volume 9 of the Advanced Lectures in Mathematics series) - Softcover

Softcover

ISBN 10: 1571461418 ISBN 13: 9781571461414

Publisher: International Press of Boston, Incorporated, 2012

Synopsis

Published jointly by International Press and by Higher Education Press of China, the Advanced Lectures in Mathematics (ALM) series brings the latest mathematical developments worldwide to both researchers and students. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. The ALM series emphasizes discussion of the history and significance of each topic discussed, with an overview of the current status of research, and presentation of the newest cutting-edge results.

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.

About this title

About the Author

Lizhen Ji is at the University of Michigan.

Edition details

• Publisher: International Press of Boston, Incorporated
• Publication date: 2012
• Language: English
• ISBN 10: 1571461418
• ISBN 13: 9781571461414
• Binding: Paperback
• Number of pages: 319
• Editor: Ji Lizhen, Liu Kefeng, Yau Shing-Tung, Zheng Zhu-jun