Algebraic K-Theory and Algebraic Topology

1. Front Matter

   Pages i-xi

   PDF

2. Conductors in the Non-Separable Residue Field Case

   • Robert Boltje, G.-Martin Cram, V. P. Snaith

   Pages 1-34

3. On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields

   • J.-L. Colliot-Thélène

   Pages 35-55

4. Résultats de “Pureté” pour les Variétés Lisses sur un Corps Fini

   • Bruno Kahn

   Pages 57-62

5. Module Structures on the Hochschild and Cyclic Homology of Graded Rings

   • B. H. Dayton, C. A. Weibel

   Pages 63-90

6. The Intersection Cohomology and Derived Category of Algebraic Stacks

   • Roy Joshua

   Pages 91-145

7. On the Lichtenbaum-Quillen Conjecture

   • Bruno Kahn

   Pages 147-166

8. Tate Motives and the Vanishing Conjectures for Algebraic K-Theory

   • Marc Levine

   Pages 167-188

9. Suslin Homology and Deligne 1-Motives

   • Stephen Lichtenbaum

   Pages 189-196

10. On p-Adic Topological K-Theory

    • Stephen A. Mitchell

    Pages 197-204

11. Life after the Telescope Conjecture

    • Douglas C. Ravenel

    Pages 205-222

12. Finiteness of Subintegrality

    • Les Reid, Leslie G. Roberts, Balwant Singh

    Pages 223-227

13. Cohomological Hasse Principle for a Threefold over a Finite Field

    • Shuji Saito

    Pages 229-241

14. Les K-Groupes d’un Fibré Projectif

    • R. W. Thomason

    Pages 243-248

15. Étale Chern Classes at the Prime 2

    • Charles Weibel

    Pages 249-286

16. Cosimplicial Objects in Algebraic Geometry

    • Zdzisław Wojtkowiak

    Pages 287-327

A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991. This book is the volume of proceedings for this meeting. The papers that appear here are representative of most of the lectures that were given at the conference, and therefore present a "snapshot" of the state ofthe K-theoretic art at the end of 1991. The underlying objective of the meeting was to discuss recent work related to the Lichtenbaum-Quillen complex of conjectures, fro~ both the algebraic and topological points of view. The papers in this volume deal with a range of topics, including motivic cohomology theories, cyclic homology, intersection homology, higher class field theory, and the former telescope conjecture. This meeting was jointly funded by grants from NATO and the National Science Foun­ dation in the United States. I would like to take this opportunity to thank these agencies for their support. I would also like to thank the other members of the organizing com­ mittee, namely Paul Goerss, Bruno Kahn and Chuck Weibel, for their help in making the conference successful. This was the second NATO Advanced Study Institute to be held in this venue; the first was in 1987. The success of both conferences owes much to the professionalism and helpfulness of the administration and staff of Chateau Lake Louise.

• Algebraic K-theory
• Algebraic topology
• Derived category
• K-theory
• algebra
• homology

• Mathematics Department, University of Washington, Seattle, USA

  P. G. Goerss

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

  J. F. Jardine

Policies and ethics