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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
Algebraic K-Theory
Hardcover ISBN:  978-0-8218-0818-4
Product Code:  FIC/16
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-2984-3
Product Code:  FIC/16.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-0818-4
eBook: ISBN:  978-1-4704-2984-3
Product Code:  FIC/16.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
Add to cart
Algebraic K-Theory
Click above image for expanded view
Algebraic K-Theory
Edited by: Victor P. Snaith :  McMaster University, Hamilton, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0818-4
Product Code:  FIC/16
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-2984-3
Product Code:  FIC/16.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-0818-4
eBook ISBN:  978-1-4704-2984-3
Product Code:  FIC/16.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 16; 1997; 358 pp
    MSC: Primary 19

    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and iii) a definitive exposition by J.-L. Colliot-Thélène, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry.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
     
     
    • Chapters
    • Ted Chinburg, M Kolster, George Pappas and Victor Snaith — Quaternionic exercises in K-theory Galois module structure
    • J Colliot-Thelene, Raymond Hoobler and Bruno Kahn — The Bloch-Ogus-Gabber 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 — Lambda-operations, K-theory and motivic cohomology
    • Stephen Lichtenbaum — Quasi-motives of curves
    • Randolph McCarthy — A chain complex for the spectrum homology of the algebraic K-theory 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 higher-dimensional K-groups
    • Victor Snaith — Local fundamental classes derived from higher-dimensional K-groups. II
    • Nguyen Thang — Weak approximation, R-equivalence, and Whitehead groups
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 16; 1997; 358 pp
MSC: Primary 19

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.
  • Chapters
  • Ted Chinburg, M Kolster, George Pappas and Victor Snaith — Quaternionic exercises in K-theory Galois module structure
  • J Colliot-Thelene, Raymond Hoobler and Bruno Kahn — The Bloch-Ogus-Gabber 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 — Lambda-operations, K-theory and motivic cohomology
  • Stephen Lichtenbaum — Quasi-motives of curves
  • Randolph McCarthy — A chain complex for the spectrum homology of the algebraic K-theory 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 higher-dimensional K-groups
  • Victor Snaith — Local fundamental classes derived from higher-dimensional K-groups. II
  • Nguyen Thang — Weak approximation, R-equivalence, and Whitehead groups
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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