NSF/CBMS Regional Conference in Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation Theory held at Texas Christian University, Fort Worth, Texas, June 18-22, 2012 Research partially supported by National Science Foundation Grant DMS-1068974 2010 Mathematics Subject Classification. Primary 14M15, 17B56, 22D10, 32G20, 32M10, 14D07, 14M17, 17B45, 20G99, 22E45, 22E46, 22F30, 32N10, 32L25, 32Q28, 53C30. For additional information and updates on this book, visit www.ams.org/bookpages/CBMS-118 Library of Congress Cataloging-in-Publication Data Griffiths, Phillip, 1938– Hodge theory, complex geometry, and representaion theory / Mark Green, Phillip Griffiths, Matt Kerr. p. cm. (CBMS Regional conference in mathematics number 118) Includes bibliographical references and index. ISBN 978-1-4704-1012-4 1. Hodge theory. 2. Geometry, Differential. I. Title. QA564.G6335 2013 516.3/6 2013029739 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by e-mail to reprint-permission@ams.org. c 2013 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 18 17 16 15 14 13
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