Proceedings of Symposia in Pure Mathematics 1999; 315 pp; hardcover Volume: 67 ISBN10: 082180927X ISBN13: 9780821809273 List Price: US$96 Member Price: US$76.80 Order Code: PSPUM/67
 This volume presents the proceedings of the Joint Summer Research Conference on Algebraic \(K\)theory held at the University of Washington in Seattle. Highquality surveys are written by leading experts in the field. Included is the most uptodate published account of Voevodsky's proof of the Milnor conjecture relating the Milnor \(K\)theory of fields to Galois cohomology. This book offers a comprehensive source for cuttingedge research on the topic. Readership Graduate students and research mathematicians interested in \(K\)theory, algebraic geometry, and number theory. Table of Contents  J.L. ColliotThélène  Conjectures de type localglobal sur l'image des groupes de Chow dans la cohomologie étale
 H. Esnault  Algebraic theory of characteristic classes of bundles with connection
 H. Gangl and S. MüllerStach  Polylogarithmic identities in cubical higher Chow groups
 T. Geisser and L. Hesselholt  Topological cyclic homology of schemes
 H. Gillet and C. Soulé  Filtrations on higher algebraic \(K\)theory
 B. Kahn  Motivic cohomology of smooth geometrically cellular varieties
 K. P. Knudson  Integral homology of \(PGL_2\) over elliptic curves
 E. Peyre  Application of motivic complexes to negligible classes
 J. Rognes  Twoprimary algebraic \(K\)theory of spaces and related spaces of symmetries of manifolds
 J. Rosenberg  A minicourse on recent progress in algebraic \(K\)theory and its relationship with topology and analysis
 B. Totaro  The Chow ring of a classifying space
 V. Voevodsky  Voevodsky's Seattle lectures: \(K\)theory and motivic cohomology
 C. Weibel  Products in higher Chow groups and motivic cohomology
