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Algebraic K-Theory
Edited by: Victor P. Snaith, McMaster University, Hamilton, ON, Canada
A co-publication of the AMS and Fields Institute.
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Fields Institute Communications
1997; 358 pp; hardcover
Volume: 16
ISBN-10: 0-8218-0818-4
ISBN-13: 978-0-8218-0818-4
List Price: US$120
Member Price: US$96
Order Code: FIC/16
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This conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. The volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. In addition to research papers treated directly in the lectures at the conference, this volume contains the following: i) several timely articles inspired by those lectures (particularly by that of V. Voevodsky), ii) an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and étale cohomology, and iii) a definitive exposition by J.-L. Colliot-Thélène, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in K-theory and also to graduate students and researchers seeking good advanced exposition.

Features:

  • invaluable access to new, previously unavailable research results
  • an ideal reference for some important results in K-theory techniques in algebraic geometry
  • material for advanced seminars for graduate students
  • a number of papers connecting number theory and K-theory in a way that complements The Fields Institute Monograph Series from the 1993-1994 emphasis year on \(L\)-functions

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Advanced graduate students and research mathematicians interested in algebraic topology, algebraic geometry, number theory and algebraic K-theory.

Table of Contents

  • T. C. Chinburg, M. Kolster, G. Pappas, and V. P. Snaith -- Quaternionic exercises in K-theory Galois module structure
  • J. L. Colliot-Thelene, R. T. Hoobler, and B. Kahn -- The Bloch-Ogus-Gabber theorem
  • W. Gao and J. Minac -- Milnor's conjecture and Galois theory. I
  • J. F. Jardine -- Ultraproducts and the discrete cohomology of algebraic groups
  • M. Levine -- Lambda-operations, K-theory and motivic cohomology
  • S. Lichtenbaum -- Quasi-motives of curves
  • R. McCarthy -- A chain complex for the spectrum homology of the algebraic K-theory of an exact category
  • S. A. Mitchell -- Hypercohomology spectra and Thomason's descent theorem
  • L. G. Roberts -- Kahler differentials of certain cusps
  • V. P. Snaith -- Local fundamental classes derived from higher-dimensional K-groups
  • V. P. Snaith -- Local fundamental classes derived from higher-dimensional K-groups. II
  • N. Q. Thang -- Weak approximation, R-equivalence, and Whitehead groups
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