Description

Book Synopsis
Presents the proceedings of the Joint Summer Research Conference on Algebraic $K$-theory held at the University of Washington in Seattle. This work includes an account of Voevodsky's proof of the Milnor conjecture relating the Milnor $K$-theory of fields to Galois cohomology.

Table of Contents
Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie etale by J.-L. Colliot-Thelene Algebraic theory of characteristic classes of bundles with connection by H. Esnault Polylogarithmic identities in cubical higher Chow groups by H. Gangl and S. Muller-Stach Topological cyclic homology of schemes by T. Geisser and L. Hesselholt Filtrations on higher algebraic $K$-theory by H. Gillet and C. Soule Motivic cohomology of smooth geometrically cellular varieties by B. Kahn Integral homology of $PGL_2$ over elliptic curves by K. P. Knudson Application of motivic complexes to negligible classes by E. Peyre Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds by J. Rognes A mini-course on recent progress in algebraic $K$-theory and its relationship with topology and analysis by J. Rosenberg The Chow ring of a classifying space by B. Totaro Voevodsky's Seattle lectures: $K$-theory and motivic cohomology by V. Voevodsky Products in higher Chow groups and motivic cohomology by C. Weibel.

Algebraic Ktheory

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A Hardback by Wayne Raskind, Charles A. Weibel

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    Publisher: MP-AMM American Mathematical
    Publication Date: 11/30/1999 12:00:00 AM
    ISBN13: 9780821809273, 978-0821809273
    ISBN10: 082180927X
    Also in:
    Algebra Number theory

    Description

    Book Synopsis
    Presents the proceedings of the Joint Summer Research Conference on Algebraic $K$-theory held at the University of Washington in Seattle. This work includes an account of Voevodsky's proof of the Milnor conjecture relating the Milnor $K$-theory of fields to Galois cohomology.

    Table of Contents
    Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie etale by J.-L. Colliot-Thelene Algebraic theory of characteristic classes of bundles with connection by H. Esnault Polylogarithmic identities in cubical higher Chow groups by H. Gangl and S. Muller-Stach Topological cyclic homology of schemes by T. Geisser and L. Hesselholt Filtrations on higher algebraic $K$-theory by H. Gillet and C. Soule Motivic cohomology of smooth geometrically cellular varieties by B. Kahn Integral homology of $PGL_2$ over elliptic curves by K. P. Knudson Application of motivic complexes to negligible classes by E. Peyre Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds by J. Rognes A mini-course on recent progress in algebraic $K$-theory and its relationship with topology and analysis by J. Rosenberg The Chow ring of a classifying space by B. Totaro Voevodsky's Seattle lectures: $K$-theory and motivic cohomology by V. Voevodsky Products in higher Chow groups and motivic cohomology by C. Weibel.

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