Overview
- Interdisciplinary approach to the ever expanding fields of representation theory and automorphic forms
- Written by leading mathematicians
- Tracks recent progress in 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
Part of the book series: Progress in Mathematics (PM, volume 255)
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Table of contents (6 chapters)
Keywords
About this book
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
Editors and Affiliations
Bibliographic Information
Book Title: Representation Theory and Automorphic Forms
Editors: Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-4646-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2008
Hardcover ISBN: 978-0-8176-4505-2Published: 31 October 2007
eBook ISBN: 978-0-8176-4646-2Published: 10 October 2007
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: VIII, 214
Topics: Algebra, Number Theory, Differential Geometry, Algebraic Geometry