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.

Readership

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

Table of Contents

• 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