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Algebraic $$K$$-Theory
Edited by: Grzegorz Banaszak and Wojciech Gajda, Adam Mickiewicz University, Poznań, Poland, and Piotr Krasoń, Szczecin University, Poland
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Contemporary Mathematics
1996; 210 pp; softcover
Volume: 199
ISBN-10: 0-8218-0511-8
ISBN-13: 978-0-8218-0511-4
List Price: US$63 Member Price: US$50.40
Order Code: CONM/199

This book contains proceedings of the research conference on algebraic $$K$$-theory that took place in Poznań, Poland, in September 1995. The conference concluded the activity of the algebraic $$K$$-theory seminar held at the Adam Mickiewicz University in the academic year 1994-1995. Talks at the conference covered a wide range of current research activities in algebraic $$K$$-theory. In particular, the following topics were covered:

• $$K$$-theory of fields and rings of integers.
• $$K$$-theory of elliptic and modular curves.
• Theory of motives, motivic cohomology, Beilinson conjectures.
• Algebraic $$K$$-theory of topological spaces, topological Hochschild homology and cyclic homology.

With contributions by some leading experts in the field, this book provides a look at the state of current research in algebraic $$K$$-theory.

Graduate students and research mathematicians interested in algebraic geometry, topology, and number theory.

• D. Arlettaz -- A topological proof of the vanishing of the product of $$K_3(\mathbb Z)$$ with $$K_1(\mathbb Z)$$
• G. Banaszak and W. Gajda -- On the arithmetic of cyclotomic fields and the $$K$$-theory of $$\mathbb Q$$
• S. Betley -- On stable $$K$$-theory with twisted coefficients
• S. Bloch -- The Postnikov tower in algebraic $$K$$-theory
• D. Burghelea -- Free loop spaces, power maps and $$K$$-theory
• A. Dąabrowski -- On the symmetric power of an elliptic curve
• H. Gangl -- Families of functional equations for polylogarithms
• C. H. Giffen -- Bott periodicity and the $$Q$$-construction
• J. F. Jardine -- Descent problems for $$K$$-theory of fields of Galois cohomological dimension one
• B. Köck -- On Adams operations on the higher $$K$$-theory group rings
• A. Nenashev -- Double short exact sequences produce all elements of Quillen's $$K_1$$
• R. Schwänzl, R. Staffeldt, and F. Waldhausen -- Stable $$K$$-theory and topological Hochschild homology of $$A_\infty$$ rings
• C. Sherman -- Connecting homomorphisms in localization sequences
• M. Szyjewski -- On the Witt ring of a Grassmann variety