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Hardcover ISBN:  9780821809273 
Product Code:  PSPUM/67 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
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Product Code:  PSPUM/67.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821809273 
eBook ISBN:  9780821893722 
Product Code:  PSPUM/67.B 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 67; 1999; 315 ppMSC: Primary 19
This volume presents the proceedings of the Joint Summer Research Conference on Algebraic \(K\)theory held at the University of Washington in Seattle. Highquality surveys are written by leading experts in the field. Included is the most uptodate published account of Voevodsky's proof of the Milnor conjecture relating the Milnor \(K\)theory of fields to Galois cohomology. This book offers a comprehensive source for cuttingedge research on the topic.
ReadershipGraduate students and research mathematicians interested in \(K\)theory, algebraic geometry, and number theory.

Table of Contents

Articles

JeanLouis ColliotThélène — Conjectures de type localglobal sur l’image des groupes de Chow dans la cohomologie étale [ MR 1743234 ]

Hélène Esnault — Algebraic theory of characteristic classes of bundles with connection [ MR 1743235 ]

Herbert Gangl and Stefan MüllerStach — Polylogarithmic identities in cubical higher Chow groups [ MR 1743236 ]

Thomas Geisser and Lars Hesselholt — Topological cyclic homology of schemes [ MR 1743237 ]

H. Gillet and C. Soulé — Filtrations on higher algebraic $K$theory [ MR 1743238 ]

Bruno Kahn — Motivic cohomology of smooth geometrically cellular varieties [ MR 1743239 ]

Kevin P. Knudson — Integral homology of $\mathrm {PGL}_2$ over elliptic curves [ MR 1743240 ]

Emmanuel Peyre — Application of motivic complexes to negligible classes [ MR 1743241 ]

John Rognes — Twoprimary algebraic $K$theory of spaces and related spaces of symmetries of manifolds [ MR 1743242 ]

Jonathan Rosenberg — A minicourse on recent progress in algebraic $K$theory and its relationship with topology and analysis [ MR 1743243 ]

Burt Totaro — The Chow ring of a classifying space [ MR 1743244 ]

V. Voevodsky — Voevodsky’s Seattle lectures: $K$theory and motivic cohomology [ MR 1743245 ]

Charles Weibel — Products in higher Chow groups and motivic cohomology [ MR 1743246 ]


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This volume presents the proceedings of the Joint Summer Research Conference on Algebraic \(K\)theory held at the University of Washington in Seattle. Highquality surveys are written by leading experts in the field. Included is the most uptodate published account of Voevodsky's proof of the Milnor conjecture relating the Milnor \(K\)theory of fields to Galois cohomology. This book offers a comprehensive source for cuttingedge research on the topic.
Graduate students and research mathematicians interested in \(K\)theory, algebraic geometry, and number theory.

Articles

JeanLouis ColliotThélène — Conjectures de type localglobal sur l’image des groupes de Chow dans la cohomologie étale [ MR 1743234 ]

Hélène Esnault — Algebraic theory of characteristic classes of bundles with connection [ MR 1743235 ]

Herbert Gangl and Stefan MüllerStach — Polylogarithmic identities in cubical higher Chow groups [ MR 1743236 ]

Thomas Geisser and Lars Hesselholt — Topological cyclic homology of schemes [ MR 1743237 ]

H. Gillet and C. Soulé — Filtrations on higher algebraic $K$theory [ MR 1743238 ]

Bruno Kahn — Motivic cohomology of smooth geometrically cellular varieties [ MR 1743239 ]

Kevin P. Knudson — Integral homology of $\mathrm {PGL}_2$ over elliptic curves [ MR 1743240 ]

Emmanuel Peyre — Application of motivic complexes to negligible classes [ MR 1743241 ]

John Rognes — Twoprimary algebraic $K$theory of spaces and related spaces of symmetries of manifolds [ MR 1743242 ]

Jonathan Rosenberg — A minicourse on recent progress in algebraic $K$theory and its relationship with topology and analysis [ MR 1743243 ]

Burt Totaro — The Chow ring of a classifying space [ MR 1743244 ]

V. Voevodsky — Voevodsky’s Seattle lectures: $K$theory and motivic cohomology [ MR 1743245 ]

Charles Weibel — Products in higher Chow groups and motivic cohomology [ MR 1743246 ]