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Hardcover ISBN: | 978-0-8218-0927-3 |
Product Code: | PSPUM/67 |
List Price: | $139.00 |
MAA Member Price: | $125.10 |
AMS Member Price: | $111.20 |
eBook ISBN: | 978-0-8218-9372-2 |
Product Code: | PSPUM/67.E |
List Price: | $135.00 |
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AMS Member Price: | $108.00 |
Hardcover ISBN: | 978-0-8218-0927-3 |
eBook ISBN: | 978-0-8218-9372-2 |
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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. High-quality surveys are written by leading experts in the field. Included is the most up-to-date 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 cutting-edge research on the topic.
ReadershipGraduate students and research mathematicians interested in \(K\)-theory, algebraic geometry, and number theory.
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Table of Contents
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Articles
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Jean-Louis Colliot-Thélène — Conjectures de type local-global sur l’image des groupes de Chow dans la cohomologie étale [ MR 1743234 ]
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Hélène Esnault — Algebraic theory of characteristic classes of bundles with connection [ MR 1743235 ]
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Herbert Gangl and Stefan Müller-Stach — Polylogarithmic identities in cubical higher Chow groups [ MR 1743236 ]
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Thomas Geisser and Lars Hesselholt — Topological cyclic homology of schemes [ MR 1743237 ]
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H. Gillet and C. Soulé — Filtrations on higher algebraic $K$-theory [ MR 1743238 ]
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Bruno Kahn — Motivic cohomology of smooth geometrically cellular varieties [ MR 1743239 ]
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Kevin P. Knudson — Integral homology of $\mathrm {PGL}_2$ over elliptic curves [ MR 1743240 ]
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Emmanuel Peyre — Application of motivic complexes to negligible classes [ MR 1743241 ]
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John Rognes — Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds [ MR 1743242 ]
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Jonathan Rosenberg — A mini-course on recent progress in algebraic $K$-theory and its relationship with topology and analysis [ MR 1743243 ]
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Burt Totaro — The Chow ring of a classifying space [ MR 1743244 ]
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V. Voevodsky — Voevodsky’s Seattle lectures: $K$-theory and motivic cohomology [ MR 1743245 ]
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Charles Weibel — Products in higher Chow groups and motivic cohomology [ MR 1743246 ]
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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. High-quality surveys are written by leading experts in the field. Included is the most up-to-date 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 cutting-edge research on the topic.
Graduate students and research mathematicians interested in \(K\)-theory, algebraic geometry, and number theory.
-
Articles
-
Jean-Louis Colliot-Thélène — Conjectures de type local-global 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 Müller-Stach — 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 — Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds [ MR 1743242 ]
-
Jonathan Rosenberg — A mini-course 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 ]