Representation Theory and Automorphic Forms (Progress in Mathematics, 255) - Hardcover

Hardcover

ISBN 10: 0817645055 ISBN 13: 9780817645052

Publisher: Birkhäuser, 2007

Synopsis

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

About this title

From the Back Cover

This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry.

Representation theory relates to number theory through the Langlands program, which conjecturally connects algebraic extensions of number fields to automorphic representations and L-functions. These are the subject of several of the papers. Multiplicity-free representations constitute another subject, which is approached geometrically via the notion of visible group actions on complex manifolds.

Both graduate students and researchers will find inspiration in this volume.

Contributors: T. Ikeda, T. Kobayashi, S. Miller, D. Ramakrishnan, W. Schmid, F. Shahidi, K. Yoshikawa

Edition details

• Publisher: Birkhäuser
• Publication date: 2007
• ISBN 10: 0817645055
• ISBN 13: 9780817645052
• Binding: Hardcover
• Language: English
• Number of pages: 222
• Editor: Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang