Progress in Mathematics

Representation Theory and Automorphic Forms

Editors: Kobayashi, Toshiyuki, Schmid, Wilfried, Yang, Jae-Hyun (Eds.)

  • Offers an 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
see more benefits

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4646-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-4505-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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

Table of contents (6 chapters)

  • Irreducibility and Cuspidality

    Ramakrishnan, Dinakar

    Pages 1-27

  • On Liftings of Holomorphic Modular Forms

    Ikeda, Tamotsu

    Pages 29-44

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

    Kobayashi, Toshiyuki

    Pages 45-109

  • The Rankin–Selberg Method for Automorphic Distributions

    Miller, Stephen D. (et al.)

    Pages 111-150

  • Langlands Functoriality Conjecture and Number Theory

    Shahidi, Freydoon

    Pages 151-173

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4646-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-4505-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Representation Theory and Automorphic Forms
Editors
  • Toshiyuki Kobayashi
  • Wilfried Schmid
  • Jae-Hyun Yang
Series Title
Progress in Mathematics
Series Volume
255
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4646-2
DOI
10.1007/978-0-8176-4646-2
Hardcover ISBN
978-0-8176-4505-2
Series ISSN
0743-1643
Edition Number
1
Number of Pages
VIII, 214
Topics