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© 2008

Representation Theory and Automorphic Forms

  • Toshiyuki Kobayashi
  • Wilfried Schmid
  • Jae-Hyun Yang

Benefits

  • 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

Book

Part of the Progress in Mathematics book series (PM, volume 255)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Dinakar Ramakrishnan
    Pages 1-27
  3. Tamotsu Ikeda
    Pages 29-44
  4. Stephen D. Miller, Wilfried Schmid
    Pages 111-150
  5. Ken-Ichi Yoshikawa
    Pages 175-210

About this book

Introduction

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

Keywords

Prime automorphic forms differential geometry manifold number theory representation theory

Editors and affiliations

  • Toshiyuki Kobayashi
    • 1
  • Wilfried Schmid
    • 2
  • Jae-Hyun Yang
    • 3
  1. 1.RIMS, Kyoto UniversitySakyo-kuJapan
  2. 2.Department of MathematicsHarvard UniversityCambridgeU.S.A
  3. 3.Department of MathematicsInha UniversityIncheon 402-751Republic of Korea

Bibliographic information