Representation Theory and Automorphic Forms: Instructional Conference, International Centre for Mathematical Sciences, March 1996, Edinburgh, Scotland (Proceedings of Symposia in Pure Mathematics) - Hardcover

Hardcover

ISBN 10: 0821806092 ISBN 13: 9780821806098

Publisher: Amer Mathematical Society, 1997

Synopsis

This book is a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects written by some of the world's leading experts in these fields. It is based on the 1996 instructional conference of the International Centre for Mathematical Sciences in Edinburgh. The book begins with an introductory treatment of structure theory and ends with an essay by Robert Langlands on the current status of functoriality. All papers are intended to provide overviews of the topics they address, and the authors have supplied extensive bibliographies to guide the reader who wants more detail.

The aim of the articles is to treat representation theory with two goals in mind: 1) to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics and 2) to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem.

Features:

Discussion of representation theory from many experts' viewpoints

Treatment of the subject from the foundations through recent advances

Discussion of the analogies between analysis of cusp forms and analysis on semisimple symmetric spaces, which have been at the heart of research breakthroughs for 40 years

Extensive bibliographies

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1997
• ISBN 10: 0821806092
• ISBN 13: 9780821806098
• Binding: Hardcover
• Language: English
• Editor: Bailey T. N., Knapp Anthony W.