Algebraic K-theory (Fields Institute Communications No. 16)
By: Victor P. Snaith (editor)Hardback
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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: several timely articles inspired by those lectures (particularly by that of V. Voevodsky), an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and etale cohomology, and a definitive exposition by J. L. Colliot-Thelene, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry.This volume will be important both for researchers who want access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.
It 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; and 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.
Quaternionic exercises in K-theory Galois module structure by T. C. Chinburg, M. Kolster, G. Pappas, and V. P. Snaith The Bloch-Ogus-Gabber theorem by J. L. Colliot-Thelene, R. T. Hoobler, and B. Kahn Milnor's conjecture and Galois theory. I by W. Gao and J. Minac Ultraproducts and the discrete cohomology of algebraic groups by J. F. Jardine Lambda-operations, K-theory and motivic cohomology by M. Levine Quasi-motives of curves by S. Lichtenbaum A chain complex for the spectrum homology of the algebraic K-theory of an exact category by R. McCarthy Hypercohomology spectra and Thomason's descent theorem by S. A. Mitchell Kahler differentials of certain cusps by L. G. Roberts Local fundamental classes derived from higher-dimensional K-groups by V. P. Snaith Local fundamental classes derived from higher-dimensional K-groups. II by V. P. Snaith Weak approximation, R-equivalence, and Whitehead groups by N. Q. Thang.
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- ID: 9780821808184
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