eBook ISBN:  9780821877906 
Product Code:  CONM/199.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877906 
Product Code:  CONM/199.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 199; 1996; 210 ppMSC: Primary 19; Secondary 11
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.
ReadershipGraduate students and research mathematicians interested in algebraic geometry, topology, and number theory.

Table of Contents

Articles

Dominique Arlettaz — A topological proof of the vanishing of the product of $K_3({\bf Z})$ with $K_1({\bf Z})$ [ MR 1409613 ]

Grzegorz Banaszak and Wojciech Gajda — On the arithmetic of cyclotomic fields and the $K$theory of ${\bf Q}$ [ MR 1409614 ]

Stanislaw Betley — On stable $K$theory with twisted coefficients [ MR 1409615 ]

S. Bloch — The Postnikov tower in algebraic $K$theory [ MR 1409616 ]

D. Burghelea — Free loop spaces, power maps and $K$theory [ MR 1409617 ]

Andrzej Dąbrowski — On the symmetric power of an elliptic curve [ MR 1409618 ]

Herbert Gangl — Families of functional equations for polylogarithms [ MR 1409619 ]

Charles H. Giffen — Bott periodicity and the $Q$construction [ MR 1409620 ]

J. F. Jardine — Descent problems for the $K$theory of fields of Galois cohomological dimension one [ MR 1409621 ]

Bernhard Köck — On Adams operations on the higher $K$theory of group rings [ MR 1409622 ]

Alexander Nenashev — Double short exact sequences produce all elements of Quillen’s $K_1$ [ MR 1409623 ]

Roland Schwänzl, Ross Staffeldt and Friedhelm Waldhausen — Stable $K$theory and topological Hochschild homology of $A_\infty $ rings [ MR 1409624 ]

Clayton Sherman — Connecting homomorphisms in localization sequences [ MR 1409625 ]

Marek Szyjewski — Witt rings of Grassmann varieties [ MR 1409626 ]


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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.

Articles

Dominique Arlettaz — A topological proof of the vanishing of the product of $K_3({\bf Z})$ with $K_1({\bf Z})$ [ MR 1409613 ]

Grzegorz Banaszak and Wojciech Gajda — On the arithmetic of cyclotomic fields and the $K$theory of ${\bf Q}$ [ MR 1409614 ]

Stanislaw Betley — On stable $K$theory with twisted coefficients [ MR 1409615 ]

S. Bloch — The Postnikov tower in algebraic $K$theory [ MR 1409616 ]

D. Burghelea — Free loop spaces, power maps and $K$theory [ MR 1409617 ]

Andrzej Dąbrowski — On the symmetric power of an elliptic curve [ MR 1409618 ]

Herbert Gangl — Families of functional equations for polylogarithms [ MR 1409619 ]

Charles H. Giffen — Bott periodicity and the $Q$construction [ MR 1409620 ]

J. F. Jardine — Descent problems for the $K$theory of fields of Galois cohomological dimension one [ MR 1409621 ]

Bernhard Köck — On Adams operations on the higher $K$theory of group rings [ MR 1409622 ]

Alexander Nenashev — Double short exact sequences produce all elements of Quillen’s $K_1$ [ MR 1409623 ]

Roland Schwänzl, Ross Staffeldt and Friedhelm Waldhausen — Stable $K$theory and topological Hochschild homology of $A_\infty $ rings [ MR 1409624 ]

Clayton Sherman — Connecting homomorphisms in localization sequences [ MR 1409625 ]

Marek Szyjewski — Witt rings of Grassmann varieties [ MR 1409626 ]