Algebraic K-Theory Proceedings of the Conference Held at Northwester
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551 Algebraic K-Theory
Proceedings of the Conference Held at Northwestern University Evanston, January 12-16, 1976
Edited by Michael R. Stein
Springer-Verlag
Berlin. Heidelberg- New York 19? 6
Editor
Michael R. Stein Department of Mathematics Northwestern University Evanston, I1. 6 0 2 0 1 / U S A
Library of Congress Cataloging in Publication Data
Main entry under title:
Algebraic K-theory. (Lecture notes in mathematics ; 551) Bibliography: p. Includes index. i. K-theory--Congresses. 2 ~ Homology theory-Congresses. 3. Rings (Algebra)--Congresses. I. Stein, M~chael R., 1943II. Series: Lecture notes in mathematics (Berlin) ; 551. QAB,I,q8 no. 551 [QA61~.33] 510'.8s [514'.23] 76-~9894 ISBN
AMS Subject Classifications (1970): 13D15, 14C99,14 F15,16A54,18 F25, 18H10, 20C10, 20G05, 20G35, 55 El0, 5 7 A 7 0 ISBN 3-540-07996-3 Springer-Verlag Berlin 9 Heidelberg 9 New York ISBN 0-38?-0?996-3 Springer-Verlag New York 9 Heidelberg 9 Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under w 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. 9 by Springer-Verlag Berlin 9 Heidelberg 1976 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr.
Introduction
A conference on algebraic K-theory, j o i n t l y supported by the National Science Foundation and Northwestern University, was held at Northwestern University January 12-16, 1976. These proceedings contain papers presented at that conference, survey articles on certain subspecialities represented at the conference, and related papers, some by mathematicians who did not attend the conference. The diversity of mathematical interests subsumed under the t i t l e "algebraic K-theory" is by now well-known; a glance at the contents of this volume will confirm this.
To deal with this diversity, a large block of time was l e f t free
for participants to organize themselves into seminars on topics of their choice. A l i s t of these seminar talks has been included following the l i s t of lectures given to the f u l l group.
I have also listed the names of conference participants
and of authors of articles along with their addresses as of January 1976. I t seems appropriate to mention here that shortly after the end of this conference, Quillen and Sus]in, working independently, found a positive solution to Serre's problemMhich motivated some of the earliest research in the "classical" period of algebraic K-theory. Quillen's solution is to appear in Inventiones Math. On behalf of the participants, I would like to thank the NSF and Northwestern University's College of Arts and Sciences for their financial support.
I would
also like to thank Madalyn Kuharick and Georgette Sav
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