This book contains proceedings of the research conference on algebraic $K$-theory that took place in Poznan, 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; and, 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.
A topological proof of the vanishing of the product of $K 3(\mathbb Z)$ with $K 1(\mathbb Z)$ by D. Arlettaz On the arithmetic of cyclotomic fields and the $K$-theory of $\mathbb Q$ by G. Banaszak and W. Gajda On stable $K$-theory with twisted coefficients by S. Betley The Postnikov tower in algebraic $K$-theory by S. Bloch Free loop spaces, power maps and $K$-theory by D. Burghelea On the symmetric power of an elliptic curve by A. Daabrowski Families of functional equations for polylogarithms by H. Gangl Bott periodicity and the $Q$-construction by C. H. Giffen Descent problems for $K$-theory of fields of Galois cohomological dimension one by J. F. Jardine On Adams operations on the higher $K$-theory group rings by B. Kock Double short exact sequences produce all elements of Quillen's $K 1$ by A. Nenashev Stable $K$-theory and topological Hochschild homology of $A \infty$ rings by R. Schwanzl, R. Staffeldt, and F. Waldhausen Connecting homomorphisms in localization sequences by C. Sherman On the Witt ring of a Grassmann variety by M. Szyjewski.
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