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Representation Theory and Automorphic Forms

  • Book
  • © 2008

Overview

Editors:
  1. Toshiyuki Kobayashi

    1. RIMS, Kyoto University, Sakyo-ku, Japan

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  2. Wilfried Schmid

    1. Department of Mathematics, Harvard University, Cambridge, U.S.A

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    You can also search for this editor in PubMed   Google Scholar

  3. Jae-Hyun Yang

    1. Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea

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    You can also search for this editor in PubMed   Google Scholar

  • 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)

  1. Front Matter

    Pages I-VIII
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  2. Irreducibility and Cuspidality

    • Dinakar Ramakrishnan
    Pages 1-27

  3. On Liftings of Holomorphic Modular Forms

    • Tamotsu Ikeda
    Pages 29-44

  4. Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs

    • Toshiyuki Kobayashi
    Pages 45-109

  5. The Rankin–Selberg Method for Automorphic Distributions

    • Stephen D. Miller, Wilfried Schmid
    Pages 111-150

  6. Langlands Functoriality Conjecture and Number Theory

    • Freydoon Shahidi
    Pages 151-173

  7. Discriminant of Certain K3 Surfaces

    • Ken-Ichi Yoshikawa
    Pages 175-210
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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

  • RIMS, Kyoto University, Sakyo-ku, Japan

    Toshiyuki Kobayashi

  • Department of Mathematics, Harvard University, Cambridge, U.S.A

    Wilfried Schmid

  • Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea

    Jae-Hyun Yang

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