A Relationship Between Connective K Theory Of Finite Groups And Number Theory
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The Connective K Theory Of Finite Groups
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Author : Robert Ray Bruner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Connective K Theory Of Finite Groups written by Robert Ray Bruner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Connective Real K Theory Of Finite Groups
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Author : Robert Ray Bruner
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Connective Real K Theory Of Finite Groups written by Robert Ray Bruner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.
A Relationship Between Connective K Theory Of Finite Groups And Number Theory
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Author : Michael Keogh
language : en
Publisher:
Release Date : 2018
A Relationship Between Connective K Theory Of Finite Groups And Number Theory written by Michael Keogh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Algebraic Number Theory categories.
We study the relationship between Euler classes in connective K-theory of certain metacyclic groups and Eulerian periods living in algebraic number fields. The division of these Euler classes living in connective K-Theory map into a subgroup of the cyclotomic units in the algebraic number fields. With the use of algebraic number theory we further the computations in connective K-theory for certain cases.
Handbook Of K Theory
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Author : Eric Friedlander
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-18
Handbook Of K Theory written by Eric Friedlander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Mathematics categories.
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
The K Book
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Author : Charles A. Weibel
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-13
The K Book written by Charles A. Weibel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-13 with Mathematics categories.
Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Cyclic Cohomology At 40 Achievements And Future Prospects
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Author : A. Connes
language : en
Publisher: American Mathematical Society
Release Date : 2023-02-23
Cyclic Cohomology At 40 Achievements And Future Prospects written by A. Connes and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-23 with Mathematics categories.
This volume contains the proceedings of the virtual conference on Cyclic Cohomology at 40: Achievements and Future Prospects, held from September 27–October 1, 2021 and hosted by the Fields Institute for Research in Mathematical Sciences, Toronto, ON, Canada. Cyclic cohomology, since its discovery forty years ago in noncommutative differential geometry, has become a fundamental mathematical tool with applications in domains as diverse as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum field theory. The reader will find survey articles providing a user-friendly introduction to applications of cyclic cohomology in such areas as higher categorical algebra, Hopf algebra symmetries, de Rham-Witt complex, quantum physics, etc., in which cyclic homology plays the role of a unifying theme. The researcher will find frontier research articles in which the cyclic theory provides a computational tool of great relevance. In particular, in analysis cyclic cohomology index formulas capture the higher invariants of manifolds, where the group symmetries are extended to Hopf algebra actions, and where Lie algebra cohomology is greatly extended to the cyclic cohomology of Hopf algebras which becomes the natural receptacle for characteristic classes. In algebraic topology the cyclotomic structure obtained using the cyclic subgroups of the circle action on topological Hochschild homology gives rise to remarkably significant arithmetic structures intimately related to crystalline cohomology through the de Rham-Witt complex, Fontaine's theory and the Fargues-Fontaine curve.
Reviews In Complex Analysis 1980 86
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Author :
language : en
Publisher:
Release Date : 1989
Reviews In Complex Analysis 1980 86 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Functions of complex variables categories.
Operations In Connective K Theory
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Author : Richard M. Kane
language : en
Publisher: American Mathematical Soc.
Release Date : 1981
Operations In Connective K Theory written by Richard M. Kane and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.
An Alpine Expedition Through Algebraic Topology
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Author : Christian Ausoni
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-06-09
An Alpine Expedition Through Algebraic Topology written by Christian Ausoni and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-09 with Mathematics categories.
This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.