**Fields Institute Communications**

Volume: 16;
1997;
358 pp;
Hardcover

MSC: Primary 19;

Print ISBN: 978-0-8218-0818-4

Product Code: FIC/16

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

**Electronic ISBN: 978-1-4704-2984-3
Product Code: FIC/16.E**

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

# Algebraic K-Theory

Share this page *Edited by *
*Victor P. Snaith*

A co-publication of the AMS and Fields Institute

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R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of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

## Algebraic K-Theory

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Robert Wayne Thomason 1952-1995 ix10
- Quaternionic exercises in K-theory Galois module structure 116
- The Bloch-Ogus-Gabber theorem 3146
- Milnor’s conjecture and Galois theory. I 95110
- Ultraproducts and the discrete cohomology of algebraic groups 111126
- Lambda-operations, K-theory and motivic cohomology 131146
- Quasi-motives of curves 185200
- A chain complex for the spectrum homology of the algebraic K-theory of an exact category 199214
- Hypercohomology spectra and Thomason’s descent theorem 221236
- Kahler differentials of certain cusps 279294
- Local fundamental classes derived from higher-dimensional K-groups 285300
- Local fundamental classes derived from higher-dimensional K-groups. II 325340
- Weak approximation, R-equivalence, and Whitehead groups 345360
- Appendix I 355370
- Appendix II 357372
- Back Cover Back Cover1374