| eBook ISBN: | 978-0-8218-7790-6 |
| Product Code: | CONM/199.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7790-6 |
| Product Code: | CONM/199.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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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.
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Table of Contents
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Articles
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Dominique Arlettaz — A topological proof of the vanishing of the product of $K_3({\bf Z})$ with $K_1({\bf Z})$ [ MR 1409613 ]
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Grzegorz Banaszak and Wojciech Gajda — On the arithmetic of cyclotomic fields and the $K$-theory of ${\bf Q}$ [ MR 1409614 ]
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Stanislaw Betley — On stable $K$-theory with twisted coefficients [ MR 1409615 ]
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S. Bloch — The Postnikov tower in algebraic $K$-theory [ MR 1409616 ]
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D. Burghelea — Free loop spaces, power maps and $K$-theory [ MR 1409617 ]
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Andrzej Dąbrowski — On the symmetric power of an elliptic curve [ MR 1409618 ]
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Herbert Gangl — Families of functional equations for polylogarithms [ MR 1409619 ]
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Charles H. Giffen — Bott periodicity and the $Q$-construction [ MR 1409620 ]
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J. F. Jardine — Descent problems for the $K$-theory of fields of Galois cohomological dimension one [ MR 1409621 ]
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Bernhard Köck — On Adams operations on the higher $K$-theory of group rings [ MR 1409622 ]
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Alexander Nenashev — Double short exact sequences produce all elements of Quillen’s $K_1$ [ MR 1409623 ]
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Roland Schwänzl, Ross Staffeldt and Friedhelm Waldhausen — Stable $K$-theory and topological Hochschild homology of $A_\infty $ rings [ MR 1409624 ]
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Clayton Sherman — Connecting homomorphisms in localization sequences [ MR 1409625 ]
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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 ]
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Andrzej Dąbrowski — On the symmetric power of an elliptic curve [ MR 1409618 ]
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Herbert Gangl — Families of functional equations for polylogarithms [ MR 1409619 ]
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Charles H. Giffen — Bott periodicity and the $Q$-construction [ MR 1409620 ]
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J. F. Jardine — Descent problems for the $K$-theory of fields of Galois cohomological dimension one [ MR 1409621 ]
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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 ]
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Clayton Sherman — Connecting homomorphisms in localization sequences [ MR 1409625 ]
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Marek Szyjewski — Witt rings of Grassmann varieties [ MR 1409626 ]
