Algebraic K Theory And Its Applications Proceedings Of The School
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Algebraic K theory And Its Applications Proceedings Of The School
Author | : Hyman Bass,Aderemi Oluyomi Kuku,C Pedrini |
Publsiher | : World Scientific |
Total Pages | : 622 |
Release | : 1999-03-12 |
Genre | : Electronic Book |
ISBN | : 9789814544795 |
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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 and Its Applications
Author | : Jonathan Rosenberg |
Publsiher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461243144 |
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Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.
Algebraic K theory and Its Applications
Author | : Hyman Bass,Aderemi O. Kuku,Claudio Pedrini |
Publsiher | : World Scientific Publishing Company Incorporated |
Total Pages | : 607 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9810234910 |
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This proceedings volume is divided into two parts. The first part consists of the lectures given during the first two weeks of the School on "Overview of Algebraic K-Theory", including various constructions, examples and illustrations from algebra, number theory, algebraic topology and algebraic geometry; more concentrated topics on "K-theory and cyclic/Maclane (co)homology", K-theory and motivic (co)homology; Chow groups and algebraic cycles; K-theory and values of zeta functions. The second part consists of research papers arising from the lectures during the third week of the School.
Algebraic K Theory
Author | : Hvedri Inassaridze |
Publsiher | : Springer Science & Business Media |
Total Pages | : 444 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 9789401585699 |
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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 its Geometric Applications
Author | : Robert M.F. Moss,Charles B. Thomas |
Publsiher | : Springer |
Total Pages | : 95 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540361565 |
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School on Algebraic K theory and Its Applications
Author | : Max Karoubi,Aderemi O. Kuku,Claudio Pedrini |
Publsiher | : Unknown |
Total Pages | : 554 |
Release | : 2003 |
Genre | : Homology theory |
ISBN | : STANFORD:36105029993487 |
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K theory in Algebra Analysis and Topology
Author | : Guillermo Cortiñas,Charles A. Weibel |
Publsiher | : American Mathematical Soc. |
Total Pages | : 388 |
Release | : 2024 |
Genre | : Education |
ISBN | : 9781470450267 |
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This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.
An Algebraic Introduction to K Theory
Author | : Bruce A. Magurn |
Publsiher | : Cambridge University Press |
Total Pages | : 702 |
Release | : 2002-05-20 |
Genre | : Mathematics |
ISBN | : 0521800781 |
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An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.