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Book DetailsFields Institute CommunicationsVolume: 16; 1997; 358 ppMSC: Primary 19
This conference proceedings volume is produced in connection with the second Great Lakes Ktheory 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 Ktheory. 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 Ktheory and étale cohomology, and iii) a definitive exposition by J.L. ColliotThélène, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of BlochOgusGersten type resolutions in Ktheory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in Ktheory 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 Ktheory techniques in algebraic geometry
 material for advanced seminars for graduate students
 a number of papers connecting number theory and Ktheory in a way that complements The Fields Institute Monograph Series from the 1993–1994 emphasis year on \(L\)functions
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipAdvanced graduate students and research mathematicians interested in algebraic topology, algebraic geometry, number theory and algebraic Ktheory.

Table of Contents

Chapters

Ted Chinburg, M Kolster, George Pappas and Victor Snaith — Quaternionic exercises in Ktheory Galois module structure

J ColliotThelene, Raymond Hoobler and Bruno Kahn — The BlochOgusGabber theorem

Wenfeng Gao and Jan Minac — Milnor’s conjecture and Galois theory. I

John Jardine — Ultraproducts and the discrete cohomology of algebraic groups

Marc Levine — Lambdaoperations, Ktheory and motivic cohomology

Stephen Lichtenbaum — Quasimotives of curves

Randolph McCarthy — A chain complex for the spectrum homology of the algebraic Ktheory of an exact category

Stephen Mitchell — Hypercohomology spectra and Thomason’s descent theorem

Leslie Roberts — Kahler differentials of certain cusps

Victor Snaith — Local fundamental classes derived from higherdimensional Kgroups

Victor Snaith — Local fundamental classes derived from higherdimensional Kgroups. II

Nguyen Thang — Weak approximation, Requivalence, and Whitehead groups


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This conference proceedings volume is produced in connection with the second Great Lakes Ktheory 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 Ktheory. 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 Ktheory and étale cohomology, and iii) a definitive exposition by J.L. ColliotThélène, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of BlochOgusGersten type resolutions in Ktheory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in Ktheory 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 Ktheory techniques in algebraic geometry
 material for advanced seminars for graduate students
 a number of papers connecting number theory and Ktheory in a way that complements The Fields Institute Monograph Series from the 1993–1994 emphasis year on \(L\)functions
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Advanced graduate students and research mathematicians interested in algebraic topology, algebraic geometry, number theory and algebraic Ktheory.

Chapters

Ted Chinburg, M Kolster, George Pappas and Victor Snaith — Quaternionic exercises in Ktheory Galois module structure

J ColliotThelene, Raymond Hoobler and Bruno Kahn — The BlochOgusGabber theorem

Wenfeng Gao and Jan Minac — Milnor’s conjecture and Galois theory. I

John Jardine — Ultraproducts and the discrete cohomology of algebraic groups

Marc Levine — Lambdaoperations, Ktheory and motivic cohomology

Stephen Lichtenbaum — Quasimotives of curves

Randolph McCarthy — A chain complex for the spectrum homology of the algebraic Ktheory of an exact category

Stephen Mitchell — Hypercohomology spectra and Thomason’s descent theorem

Leslie Roberts — Kahler differentials of certain cusps

Victor Snaith — Local fundamental classes derived from higherdimensional Kgroups

Victor Snaith — Local fundamental classes derived from higherdimensional Kgroups. II

Nguyen Thang — Weak approximation, Requivalence, and Whitehead groups