Algebraic K-theory And Its Applications - Proceedings Of The School
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3491-1 (ISBN)
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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.
Workshop - an overview of algebraic K-theory, E.M. Friedlander; cohomologie Galoisienne des corps value discrets Henseliens, d'apres K. Kato et S. Bloch, J.-L. Colliot-Thelene; hypoelliptic operators, Hopf algebras and cyclic cohomology, A. Connes; K-theory and algebraic geometry, H. Gillet; Hochschild and cyclic homology - resume and variations, J.-L. Loday; K-theory and values of zeta functions, C. Soule; symposium - on the product structure of the algebraic K-theory of rings, D. Arlettaz; balanced varieties, L. Barbieri Viale; the plus-construction as a localization, A.J. Berrick; quaternionic exercises in K-theory Galois module structure II, T. Chinburg et al; indecomposable motivic cohomology classes on quartic surfaces and on cubic fourfolds, A. Collino; reduced K-theory and the group G(D)=D*/F*D', R. Hazrat et al; a height function on the Picard group of singular Arakelov varieties, J. Jahnel; simplical schemes and Adams operations, F. Lecomte; products and quantizations in K-theory of braiding-commutative algebras, V. Lychagin and A.V. Prasolov; determinant-like functions for matrices over finite dimensional division algebras, M. Mahdavi-Hezavehi; generation of 2-torsion part of Brauer group of local quintic by quaternion algebras, the totally splitting case, G. Margolin et al; Quillan spectral sequences in rational homotopy theory, F. Neumann; Adams operations and periodic cyclic cohomology, F. Patras; projectives are free for nilpotent algebraic theories, T. Pirashvili; the subgroups of finite orders in K2Q, H.-R. Qin.
Verlagsort | Singapore |
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Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 981-02-3491-0 / 9810234910 |
ISBN-13 | 978-981-02-3491-1 / 9789810234911 |
Zustand | Neuware |
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