Algebraic K-theory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 1-19 September 1997
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書誌事項
Algebraic K-theory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 1-19 September 1997
World Scientific, c1999
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注記
Includes bibliographical references
内容説明・目次
内容説明
The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.
目次
- Workshop - an overview of algebraic K-theory, E.M. Friedlander
- cohomologie Galoisienne des corps value discrets Henseliens, d'apres K. Kato et S. Bloch, J.-L. Colliot-Thelene
- hypoelliptic operators, Hopf algebras and cyclic cohomology, A. Connes
- K-theory and algebraic geometry, H. Gillet
- Hochschild and cyclic homology - resume and variations, J.-L. Loday
- K-theory and values of zeta functions, C. Soule
- symposium - on the product structure of the algebraic K-theory of rings, D. Arlettaz
- balanced varieties, L. Barbieri Viale
- the plus-construction as a localization, A.J. Berrick
- quaternionic exercises in K-theory Galois module structure II, T. Chinburg et al
- indecomposable motivic cohomology classes on quartic surfaces and on cubic fourfolds, A. Collino
- reduced K-theory and the group G(D)=D*/F*D', R. Hazrat et al
- a height function on the Picard group of singular Arakelov varieties, J. Jahnel
- simplical schemes and Adams operations, F. Lecomte
- products and quantizations in K-theory of braiding-commutative algebras, V. Lychagin and A.V. Prasolov
- determinant-like functions for matrices over finite dimensional division algebras, M. Mahdavi-Hezavehi
- generation of 2-torsion part of Brauer group of local quintic by quaternion algebras, the totally splitting case, G. Margolin et al
- Quillan spectral sequences in rational homotopy theory, F. Neumann
- Adams operations and periodic cyclic cohomology, F. Patras
- projectives are free for nilpotent algebraic theories, T. Pirashvili
- the subgroups of finite orders in K2Q, H.-R. Qin.
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