Buildings, Finite Geometries and Groups Proceedings of a Satellite C

This volume collects articles inspired by the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, from August 29 – 31, 2010. These contributors include som

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Springer Proceedings in Mathematics

The book series will feature volumes of selected contributions from workshops and conferences in all areas of current research activity in mathematics. Besides an overall evaluation, at the hands of the publisher, of the interest, scientific quality, and timeliness of each proposal, every individual contribution will be refereed to standards comparable to those of leading mathematics journals. It is hoped that this series will thus propose to the research community well-edited and authoritative reports on newest developments in the most interesting and promising areas of mathematical research today.

N.S. Narasimha Sastry Editor

Buildings, Finite Geometries and Groups Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010

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Editor N.S. Narasimha Sastry Indian Statistical Institute 8th Mile, Mysore Road RVCE Post Bangalore 560 059 India [email protected]

ISSN 2190-5614 e-ISSN 2190-5622 ISBN 978-1-4614-0708-9 e-ISBN 978-1-4614-0709-6 DOI 10.1007/978-1-4614-0709-6 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011937764 © Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (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 Springer is part of Springer Science+Business Media (www.springer.com)

Preface

This is a collection of invited articles by some active researchers in the interface of the theory of finite groups and their representations, incidence geometries and the theory of buildings. The collection includes eight articles by some of the invited speakers at the Satellite Conference on “Buildings, Finite Geometries and Groups” held at the Indian Statistical Institute, Bangalore Centre, during August 29–31, 2010. The request to the authors of the chapters of this volume was to discuss the latest developments in the topics mentioned above, with emphasis on the basic questions of current interest. This was also the objective of the conference. I would like to thank all the authors for kindly writing the articles and many colleagues who carefully refereed the chapters in time. I also wish to thank the speakers and the participants at the Satellite Conference. This conference was one of several such conferences organized at various universities