Algebraic K-Theory and Algebraic Topology

ISBN-13: 9780792323914 / Angielski / Twarda / 1993 / 328 str.

Paul Gregory Goerss; P. G. Goerss; J. F. Jardine

Opis

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."

Spis treści

Preface. Conductors in the Non-separable Residue Field Case; R. Boltje, G.-M. Cram, V.P. Snaith. On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields; J.-L. Colliot-Thélène. Résultats de `pureté' pour les variétés lisses sur un corps fini: Appendice à l'article de J.-L. Colliot-Thélène; B. Kahn. Module Structures on the Hochschild and Cyclic Homology of Graded Rings; B.H. Dayton, C.A. Weibel. The Intersection Homology and Derived Category of Algebraic Stacks; R. Joshua. On the Lichtenbaum--Quillen Conjecture; B. Kahn. Tate Motives and the Vanishing Conjectures for Algebraic K-Theory; M. Levine. Suslin Homology and Deligne 1-Motives; S. Lichtenbaum. On p-adic Topological K-Theory; S.A. Mitchell. Life after the Telescope Conjecture; D.C. Ravenel. Finiteness of Subintegrality; L. Reid, L.G. Roberts, B. Singh. Cohomological Hasse Principle for a Threefold over a Finite Field; S. Saito. Les K-groupes d'un fibré projectif; R.W. Thomason. Étale Chern Classes at the Prime 2; C. Weibel. Cosimplicial Objects in Algebraic Geometry; Z. Wojtkowiak.