Algebraic K-Theory. Evanston 1980

Algebraic K-Theory. Evanston 1980
Title Algebraic K-Theory. Evanston 1980 PDF eBook
Author Eric Friedlander
Publisher Springer
Pages 526
Release 2006-11-15
Genre Mathematics
ISBN 3540386467

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Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980

Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980
Title Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980 PDF eBook
Author R. Keith Dennis
Publisher Springer
Pages 419
Release 2006-11-15
Genre Mathematics
ISBN 3540395539

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Algebraic K-Theory

Algebraic K-Theory
Title Algebraic K-Theory PDF eBook
Author Hvedri Inassaridze
Publisher Springer Science & Business Media
Pages 444
Release 2013-03-14
Genre Mathematics
ISBN 9401585695

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Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory.

Algebraic K-theory and Algebraic Number Theory

Algebraic K-theory and Algebraic Number Theory
Title Algebraic K-theory and Algebraic Number Theory PDF eBook
Author Michael R. Stein
Publisher American Mathematical Soc.
Pages 506
Release 1989
Genre Mathematics
ISBN 0821850903

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This volume contains the proceedings of a seminar on Algebraic $K$-theory and Algebraic Number Theory, held at the East-West Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.

Algebraic K — Theory

Algebraic K — Theory
Title Algebraic K — Theory PDF eBook
Author R. Keith Dennis
Publisher Springer
Pages 421
Release 2006-11-15
Genre Mathematics
ISBN 3540395563

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Algebraic K-theory And Its Applications - Proceedings Of The School

Algebraic K-theory And Its Applications - Proceedings Of The School
Title Algebraic K-theory And Its Applications - Proceedings Of The School PDF eBook
Author Hyman Bass
Publisher World Scientific
Pages 622
Release 1999-03-12
Genre
ISBN 9814544795

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The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.

Algebraic $K$-Theory

Algebraic $K$-Theory
Title Algebraic $K$-Theory PDF eBook
Author Wayne Raskind
Publisher American Mathematical Soc.
Pages 330
Release 1999
Genre Mathematics
ISBN 082180927X

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This volume presents the proceedings of the Joint Summer Research Conference on Algebraic K-theory held at the University of Washington in Seattle. High-quality surveys are written by leading experts in the field. Included is an up-to-date account of Voevodsky's proof of the Milnor conjecture relating the Milnor K-theory of fields to Galois cohomology. The book is intended for graduate students and research mathematicians interested in $K$-theory, algebraic geometry, and number theory.