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Algebraic $K$-Theory
 
Edited by: Wayne Raskind University of Southern California, Los Angeles, CA
Charles Weibel Rutgers University, New Brunswick, NJ
Algebraic K-Theory
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
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0927-3
eBook: ISBN:  978-0-8218-9372-2
Product Code:  PSPUM/67.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Algebraic K-Theory
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Algebraic $K$-Theory
Edited by: Wayne Raskind University of Southern California, Los Angeles, CA
Charles Weibel Rutgers University, New Brunswick, NJ
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
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0927-3
eBook ISBN:  978-0-8218-9372-2
Product Code:  PSPUM/67.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 671999; 315 pp
    MSC: 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.

    Readership

    Graduate students and research mathematicians interested in \(K\)-theory, algebraic geometry, and number theory.

  • Table of Contents
     
     
    • 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 671999; 315 pp
MSC: 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.

Readership

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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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