文档介绍：Progress in Mathematics
Volume 279
Series Editors
Hyman Bass
Joseph Oesterlé
Alan Weinstein
F or other titles in this series, go to
ies/4848
Arithmetic and Geometry
Around Q uantization
Özgür Ceyhan
Yuri I. Manin
Matilde Marcolli
Editors
Birkhäuser
Boston • Basel • Berlin
Editors
Ö zgü r Ceyhan Yuri I. Manin
MPI fü r Mathematik MPI fü r Mathematik
V ivatsgasse 7 V ivatsgasse 7
53111 Bonn 53111 Bonn
Germany Germany
******@mpim- ******@mpim-
Matilde Marcolli
California Institute of Technology
Department of Mathematics
1200 E . California Blvd.
Pasadena, CA 91125
USA
******@
ISBN 978-0-8176-4830-5 e-ISBN 978-0-8176-4831-2
DOI -0-8176-4831-2
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2009942422
Mathematics Subject Classification (2000): 53C38, 17B67 , 11F 27, 18D05 ,18E 30, 14N35
© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media, LLC, 233
Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or
scholarly analysis. Use in connection with any form of information storage and retrieval, electronic
adaptation, computer software, or by similar or dissimilar methodology now known or hereafter
developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.
Printed on acid-free paper
Birkhäuser Boston is part of Springer Science+Business Media ()
Preface
Quantization has been a potent source of interesting ideas and problems in
various branches of mathematics. A European Mathematical Soc