Contemporary Mathematics 1996; 210 pp; softcover Volume: 199 ISBN10: 0821805118 ISBN13: 9780821805114 List Price: US$60 Member Price: US$48 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 19941995. 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
