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Algebraic K Theory And Its Geometric Applications Lecture Notes In Mathematics 108
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Book Synopsis Introduction to Algebraic K-Theory by : John Milnor
Download or read book Introduction to Algebraic K-Theory written by John Milnor and published by Princeton University Press. This book was released on 2016-03-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
Book Synopsis Algebraic K-theory and Algebraic Number Theory by : Michael R. Stein
Download or read book Algebraic K-theory and Algebraic Number Theory written by Michael R. Stein and published by American Mathematical Soc.. This book was released on 1989 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Algebraic Introduction to K-Theory by : Bruce A. Magurn
Download or read book An Algebraic Introduction to K-Theory written by Bruce A. Magurn and published by Cambridge University Press. This book was released on 2002-05-20 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.
Book Synopsis Algebraic and Geometric Topology, Part 1 by : R. James Milgram
Download or read book Algebraic and Geometric Topology, Part 1 written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Algebraic $K$- and $L$-theory, Surgery and its applications, Group actions.
Book Synopsis Algebraic K-Theory and Its Applications by : Jonathan Rosenberg
Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 by : Hyman Bass
Download or read book Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 written by Hyman Bass and published by Springer. This book was released on 2006-11-15 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic K-theory And Its Applications - Proceedings Of The School by : Hyman Bass
Download or read book Algebraic K-theory And Its Applications - Proceedings Of The School written by Hyman Bass and published by World Scientific. This book was released on 1999-03-12 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geometric Topology by : James C. Cantrell
Download or read book Geometric Topology written by James C. Cantrell and published by Elsevier. This book was released on 2014-05-10 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.
Book Synopsis L2-Invariants: Theory and Applications to Geometry and K-Theory by : Wolfgang Lück
Download or read book L2-Invariants: Theory and Applications to Geometry and K-Theory written by Wolfgang Lück and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.
Book Synopsis Algebraic Topology, Aarhus 1978 by : J. L. Dupont
Download or read book Algebraic Topology, Aarhus 1978 written by J. L. Dupont and published by Springer. This book was released on 2006-11-15 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: University of Aarhus, 50. Anniversary, 11 September 1978
Book Synopsis Geometry and Topology: Aarhus by : Karsten Grove
Download or read book Geometry and Topology: Aarhus written by Karsten Grove and published by American Mathematical Soc.. This book was released on 2000 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference - a meeting of international participants held in connection with ICM Berlin in 1998 - and related papers on the subject. This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.
Book Synopsis Geometry, Algebra, Number Theory, and Their Information Technology Applications by : Amir Akbary
Download or read book Geometry, Algebra, Number Theory, and Their Information Technology Applications written by Amir Akbary and published by Springer. This book was released on 2018-09-18 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.
Book Synopsis Algebraic K-Theory III. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 by : Hyman Bass
Download or read book Algebraic K-Theory III. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 written by Hyman Bass and published by Springer. This book was released on 2006-11-15 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic and Plurisubharmonic Functions by : Michel Herve
Download or read book Analytic and Plurisubharmonic Functions written by Michel Herve and published by Springer. This book was released on 2006-11-15 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K-theory written by Hyman Bass and published by . This book was released on 1973 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis $K$-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras by : Bill Jacob
Download or read book $K$-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1995 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 of two - also available in a two volume set.
Book Synopsis Algebraic Groups and Number Theory by : Vladimir Platonov
Download or read book Algebraic Groups and Number Theory written by Vladimir Platonov and published by Academic Press. This book was released on 1993-12-07 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
