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Algebraic K-Theory: Connections with Geometry and Topology

  • Book
  • © 1989

Overview

Editors:
  1. J. F. Jardine

    1. Mathematics Department, University of Western Ontario, London, Canada

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  2. V. P. Snaith

    1. Mathematics Department, McMaster University, Hamilton, Canada

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 279)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. On the Naturality of Pic, SK0 and SK1

    • Barry Dayton, Charles Weibel
    Pages 1-28

  3. Arithmetic Chow Groups and Differential Characters

    • Henri Gillet, Christophe Soulé
    Pages 29-68

  4. Differential Characters and the Abel-Jacobi Map

    • Bruno Harris
    Pages 69-86

  5. Class Numbers, Units and K2

    • Jurgen Hurrelbrink
    Pages 87-102

  6. Steenrod Operations in the Cohomology of Simplicial Presheaves

    • J. F. Jardine
    Pages 103-116

  7. Some Conjectures on the Algebraic K-Theory of Fields, I: K-Theory with Coefficients and Étale K-Theory

    • Bruno Kahn
    Pages 117-176

  8. Odd Torsion in the Tame Kernel of Totally Real Number Fields

    • Manfred Kolster
    Pages 177-188

  9. On the K-Theory of ℤG, G A Group of Square-Free Order

    • Reinhard C. Laubenbacher
    Pages 189-208

  10. Cyclic Homology and Lambda Operations

    • J.-L. Loday, C. Procesi
    Pages 209-224

  11. Bisimplicial Sets and the Group-Completion Theorem

    • Ieke Moerdijk
    Pages 225-240

  12. The Completely Decomposed Topology on Schemes and Associated Descent Spectral Sequences in Algebraic K-Theory

    • Ye. A. Nisnevich
    Pages 241-342

  13. Torsion Algebraic Cycles on Varieties Over Local Fields

    • Wayne Raskind
    Pages 343-388

  14. Kahler Diferentials and HC1 of Certain Graded K-Algebras

    • Leslie G. Roberts
    Pages 389-424

  15. A Global Duality Theorem for Varieties Over Global Fields

    • Shuji Saito
    Pages 425-444

  16. Invariants of Representations

    • Victor Snaith
    Pages 445-508

  17. Presenting K2 with Generic Symbols

    • Wilberd van der Kallen
    Pages 509-516

  18. The Lake Louise Problem Session

    • J. F. Jardine, V. P. Snaith
    Pages 517-550
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Keywords

About this book

A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's well-known list of 1973, as well as a short list of new problems.

Editors and Affiliations

  • Mathematics Department, University of Western Ontario, London, Canada

    J. F. Jardine

  • Mathematics Department, McMaster University, Hamilton, Canada

    V. P. Snaith

Bibliographic Information

  • Book Title: Algebraic K-Theory: Connections with Geometry and Topology

  • Editors: J. F. Jardine, V. P. Snaith

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-2399-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1989

  • Hardcover ISBN: 978-0-7923-0292-6Published: 30 June 1989

  • Softcover ISBN: 978-94-010-7580-0Published: 21 April 2014

  • eBook ISBN: 978-94-009-2399-7Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XIV, 550

  • Topics: K-Theory, Algebraic Geometry, Algebraic Topology

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