**Contemporary Mathematics**

Volume: 199;
1996;
210 pp;
Softcover

MSC: Primary 19;
Secondary 11

Print ISBN: 978-0-8218-0511-4

Product Code: CONM/199

List Price: $63.00

AMS Member Price: $50.40

MAA Member Price: $56.70

**Electronic ISBN: 978-0-8218-7790-6
Product Code: CONM/199.E**

List Price: $63.00

AMS Member Price: $50.40

MAA Member Price: $56.70

# Algebraic \(K\)-Theory

Share this page *Edited by *
*Grzegorz Banaszak; Wojciech Gajda; Piotr Krasoń*

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

## Algebraic $K$-Theory

- Contents v6 free
- Preface vii8 free
- List of talks ix10 free
- List of participants xiii14 free
- A topological proof of the vanishing of the product of K3(Z) with K1(Z) 120 free
- On the arithmetic of cyclotomic fields and the K-theory of Q 726
- On stable K-theory with twisted coefficients 1938
- The Postnikov tower in algebraic K-theory 3150
- Free loop spaces, power maps and K-theory 3554
- On the symmetric power of an elliptic curve 5978
- Families of functional equations for polylogarithms 83102
- Bott periodicity and the Q-construction 107126
- Descent problems for the K-theory of fields of Galois cohomological dimension one 125144
- On Adams operations for projective modules over group rings 139158
- Double short exact sequences produce all elements of Quillen's K1 151170
- Stable K-theory and topological Hochschild homology of A∞ rings 161180
- Connecting homomorphisms in localization sequences 175194
- Witt rings of Grassmann varieties 185204