Ebook: Algebraic K-Theory and Algebraic Topology
- Tags: K-Theory, Algebraic Topology, Algebraic Geometry, Order Lattices Ordered Algebraic Structures, Associative Rings and Algebras
- Series: NATO ASI Series 407
- Year: 1993
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
This book contains the proceedings of a conference entitled `Algebraic K-Theory and Algebraic Topology', held at Ch?teau Lake Louise, Alberta, Canada, December 12--16, 1991. The papers published here represent the latest research in algebraic K-theory and related developments in other fields. This book is intended for and will be of interest to researchers in K-theory, topology, geometry and number theory.
This book contains the proceedings of a conference entitled `Algebraic K-Theory and Algebraic Topology', held at Ch?teau Lake Louise, Alberta, Canada, December 12--16, 1991. The papers published here represent the latest research in algebraic K-theory and related developments in other fields. This book is intended for and will be of interest to researchers in K-theory, topology, geometry and number theory.
Content:
Front Matter....Pages i-xi
Conductors in the Non-Separable Residue Field Case....Pages 1-34
On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields....Pages 35-55
R?sultats de “Puret?” pour les Vari?t?s Lisses sur un Corps Fini....Pages 57-62
Module Structures on the Hochschild and Cyclic Homology of Graded Rings....Pages 63-90
The Intersection Cohomology and Derived Category of Algebraic Stacks....Pages 91-145
On the Lichtenbaum-Quillen Conjecture....Pages 147-166
Tate Motives and the Vanishing Conjectures for Algebraic K-Theory....Pages 167-188
Suslin Homology and Deligne 1-Motives....Pages 189-196
On p-Adic Topological K-Theory....Pages 197-204
Life after the Telescope Conjecture....Pages 205-222
Finiteness of Subintegrality....Pages 223-227
Cohomological Hasse Principle for a Threefold over a Finite Field....Pages 229-241
Les K-Groupes d’un Fibr? Projectif....Pages 243-248
?tale Chern Classes at the Prime 2....Pages 249-286
Cosimplicial Objects in Algebraic Geometry....Pages 287-327
This book contains the proceedings of a conference entitled `Algebraic K-Theory and Algebraic Topology', held at Ch?teau Lake Louise, Alberta, Canada, December 12--16, 1991. The papers published here represent the latest research in algebraic K-theory and related developments in other fields. This book is intended for and will be of interest to researchers in K-theory, topology, geometry and number theory.
Content:
Front Matter....Pages i-xi
Conductors in the Non-Separable Residue Field Case....Pages 1-34
On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields....Pages 35-55
R?sultats de “Puret?” pour les Vari?t?s Lisses sur un Corps Fini....Pages 57-62
Module Structures on the Hochschild and Cyclic Homology of Graded Rings....Pages 63-90
The Intersection Cohomology and Derived Category of Algebraic Stacks....Pages 91-145
On the Lichtenbaum-Quillen Conjecture....Pages 147-166
Tate Motives and the Vanishing Conjectures for Algebraic K-Theory....Pages 167-188
Suslin Homology and Deligne 1-Motives....Pages 189-196
On p-Adic Topological K-Theory....Pages 197-204
Life after the Telescope Conjecture....Pages 205-222
Finiteness of Subintegrality....Pages 223-227
Cohomological Hasse Principle for a Threefold over a Finite Field....Pages 229-241
Les K-Groupes d’un Fibr? Projectif....Pages 243-248
?tale Chern Classes at the Prime 2....Pages 249-286
Cosimplicial Objects in Algebraic Geometry....Pages 287-327
....