Algebraic K-Theory: Connections with Geometry and Topology

Abstract

On the Naturality of Pic, SK0 and SK1.- Arithmetic Chow Groups and Differential Characters.- Differential Characters and the Abel-Jacobi Map.- Class Numbers, Units, and K2.- Steenrod Operations in the Cohomology of Simplicial Presheaves.- Some Conjectures on the Algebraic K-Theory of Fields, I: K-Theory with Coefficients and Etale K-Theory.- Odd Torsion in the Tame Kernel of Totally Real Number Fields.- On the K-Theory of ?G, G A Group of Square-Free Order.- Cyclic Homology and Lambda Operations.- Bisimplicial Sets and the Group-Completion Theorem.- The Completely Decomposed Topology on Schemes and Associated Descent Spectral Sequences in Algebraic K-Theory.- Torsion Algebraic Cycles on Varieties over Local Fields.- Kahler Differentials and HC1 of Certain Graded K-Algebras (With an Appendix by C. Weibel).- A Global Duality Theorem for Varieties over Global Fields.- Invariants of Representations.- Presenting K2 with Generic Symbols.- The Lake Louise Problem Session.