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Algebraic $$K$$-Theory
Edited by: Wayne Raskind, University of Southern California, Los Angeles, CA, and Charles Weibel, Rutgers University, New Brunswick, NJ
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Proceedings of Symposia in Pure Mathematics
1999; 315 pp; hardcover
Volume: 67
ISBN-10: 0-8218-0927-X
ISBN-13: 978-0-8218-0927-3
List Price: US$91 Member Price: US$72.80
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. High-quality surveys are written by leading experts in the field. Included is the most up-to-date 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 cutting-edge research on the topic.

Graduate students and research mathematicians interested in $$K$$-theory, algebraic geometry, and number theory.

• J.-L. Colliot-Thélène -- Conjectures de type local-global 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. Müller-Stach -- 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 -- Two-primary algebraic $$K$$-theory of spaces and related spaces of symmetries of manifolds
• J. Rosenberg -- A mini-course 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