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ALGEBRAIC K-THEORY AND ITS APPLICATIONS
Proceedings of the Workshop and Symposium
ICTP, Trieste, Italy 1 - 19 September 1997
edited by H Bass (Columbia University), A O Kuku (ICTP, Trieste) & C Pedrini (University of Genova)
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.
Contents:
- Workshop: An Overview of Algebraic K-Theory (E
M Friedlander)
- Cohomologie Galoisienne des Corps Valués Discrets Henséliens, d'après K Kato et S Bloch (J-L Colliot-Thélène)
- Hypoelliptic Operators, Hopf Algebras and Cyclic Cohomology (A Connes)
- K-Theory and Algebraic Geometry (H Gillet)
- Hochschild and Cyclic Homology: Résumé and Variations (J-L Loday)
- K-Theory and Values of Zeta Functions (C Soulé)
- 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)
- Simplicial Schemes and Adams Operations (F Lecomte)
- Products and Quantizations in K-Theory of Braiding-Commutative Algebras (V Lychagin & 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.)
- Quillen 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)
Readership: Researchers in the fields of K-theory, algebra, number
theory, algebraic topology, algebraic/differential geometry, and functional analysis.
| 620pp |
Pub. date: Mar 1999 |
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