Symmetry and Spaces In Honor of Gerry Schwarz
A group of Gerry Schwarz’s colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday. This volume is an outgrowth of that event, covering the wide range of mathema
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Symmetry and Spaces In Honor of Gerry Schwarz H.E.A. Campbell Aloysius G. Helminck Hanspeter Kraft David Wehlau Editors
Progress in Mathematics Volume 278
Series Editors Hyman Bass Joseph Oesterl´e Alan Weinstein
Symmetry and Spaces In Honor of Gerry Schwarz H.E.A. Campbell Aloysius G. Helminck Hanspeter Kraft David Wehlau
Editors
Birkhäuser Boston • Basel • Berlin
Editors H.E.A. Campbell President University of New Brunswick Fredericton, NB E3B 5A3 Canada [email protected]
Aloysius G. Helminck North Carolina State University Department of Mathematics Raleigh, NC 27695 USA [email protected]
Hanspeter Kraft Universität Basel Institut Mathematik 4051 Basel Switzerland [email protected]
David Wehlau Queen’s University, Kingston Department of Mathematics and Statistics Kingston, ON K7L 3N6 Canada [email protected]
e-ISBN 978-0-8176-4875-6 ISBN 978-0-8176-4874-9 DOI 10.1007/978-0-8176-4875-6 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009941305 Mathematics Subject Classification (2000): 12xx, 13A50, 14J50, 14L24, 14L30, 14M17, 14R25, 14R10, 16S32, 17B45, 20Cxx, 20G05, 20G20, 20H15, 22E15, 22E46, 32M05, 53C55, 53C35, 53D20 © 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.
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Foreword
I have been blessed with a wonderful group of teachers, students, colleagues, and collaborators during my mathematical career. I would have amounted to little without them. It was a special thrill for me that they organized a conference in celebration of my 60th birthday. I am honored by the wonderful group of participants, their talks, and their contributions to the proceedings. I thank the gang of four who organized the party; H. E. A. (Eddy) Campbell, Loek Helminck, Hanspeter Kraft, and David Wehlau. We were all pleased when the Fields Institute agreed to host the event. The Fields’ financial and logistical support as well as NSERC support through grants of Eddy and David made the presence of the many participants possible. My heartfelt thanks to all of them. Last, but not least, I want to thank Ann Kostant and Birkh¨auser Boston for agreeing to publish the proceedings of the conference in the Progress in Mathematics
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