Weibel, Charles A. 1950
Overview
Works:  14 works in 76 publications in 1 language and 2,099 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA612.33, 512.55 
Publication Timeline
.
Most widely held works by
Charles A Weibel
An introduction to homological algebra by
Charles A Weibel(
Book
)
34 editions published between 1994 and 2011 in English and held by 495 WorldCat member libraries worldwide
The landscape of homological algebra has evolved over the last halfcentury into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semisimple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra
34 editions published between 1994 and 2011 in English and held by 495 WorldCat member libraries worldwide
The landscape of homological algebra has evolved over the last halfcentury into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semisimple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra
Algebraic Ktheory : AMSIMSSIAM Joint Summer Research Conference on Algebraic KTheory, July 1324, 1997, University of
Washington, Seattle by AMSIMSSIAM Joint Summer Research Conference on Algebraic KTheory(
Book
)
11 editions published in 1999 in English and held by 283 WorldCat member libraries worldwide
11 editions published in 1999 in English and held by 283 WorldCat member libraries worldwide
The Kbook : an introduction to algebraic Ktheory by
Charles A Weibel(
Book
)
10 editions published in 2013 in English and held by 211 WorldCat member libraries worldwide
10 editions published in 2013 in English and held by 211 WorldCat member libraries worldwide
Lecture notes on motivic cohomology by
Carlo Mazza(
Book
)
9 editions published in 2006 in English and held by 191 WorldCat member libraries worldwide
9 editions published in 2006 in English and held by 191 WorldCat member libraries worldwide
Homotopy in algebraic ktheory by
Charles A Weibel(
)
2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
Twoprimary algebraic Ktheory of integers in number fields by
John Rognes(
Book
)
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
A nonconnective delooping of algebraic Ktheory by
E. K Pedersen(
Book
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
The Artinian Berger conjecture by
Guillermo Cortiñas(
Book
)
2 editions published in 1995 in English and held by 1 WorldCat member library worldwide
2 editions published in 1995 in English and held by 1 WorldCat member library worldwide
Algebraic Ktheory by AMSIMSSIAM Joint Summer Research Conference on Algebraic KTheory(
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
To the memory of Professor Hideyuki Matsumura(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Special issue on proceedings of Research Symposium on KTheory and its Applications : Ibadan, Nigeria, 1015 August 1987 by Research Symposium on KTheory and Its Applications(
Book
)
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
Ktheory and noncommutative geometry by ICM 2006 Satellite Conference on Ktheory and Noncommutative Geometry(
)
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
Since its inception 50 years ago, Ktheory has been a tool for understanding a wideranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the dominant examples. The invariants range from characteristic classes in cohomology, determinants of matrices, Chow groups of varieties, as well as traces and indices of elliptic operators. Thus Ktheory is notable for its connections with other branches of mathematics. Noncommutative geometry develops tools which allow one to think of noncommutative algebras in the same footing as commutative ones: as algebras of functions on (noncommutative) spaces. The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory. To study noncommutative geometric problems one considers invariants of the relevant noncommutative algebras. These invariants include algebraic and topological Ktheory, and also cyclic homology, discovered independently by Alain Connes and Boris Tsygan, which can be regarded both as a noncommutative version of de Rham cohomology and as an additive version of Ktheory. There are primary and secondary Chern characters which pass from Ktheory to cyclic homology. These characters are relevant both to noncommutative and commutative problems, and have applications ranging from index theorems to the detection of singularities of commutative algebraic varieties. The contributions to this volume represent this range of connections between Ktheory, noncommmutative geometry, and other branches of mathematics
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
Since its inception 50 years ago, Ktheory has been a tool for understanding a wideranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the dominant examples. The invariants range from characteristic classes in cohomology, determinants of matrices, Chow groups of varieties, as well as traces and indices of elliptic operators. Thus Ktheory is notable for its connections with other branches of mathematics. Noncommutative geometry develops tools which allow one to think of noncommutative algebras in the same footing as commutative ones: as algebras of functions on (noncommutative) spaces. The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory. To study noncommutative geometric problems one considers invariants of the relevant noncommutative algebras. These invariants include algebraic and topological Ktheory, and also cyclic homology, discovered independently by Alain Connes and Boris Tsygan, which can be regarded both as a noncommutative version of de Rham cohomology and as an additive version of Ktheory. There are primary and secondary Chern characters which pass from Ktheory to cyclic homology. These characters are relevant both to noncommutative and commutative problems, and have applications ranging from index theorems to the detection of singularities of commutative algebraic varieties. The contributions to this volume represent this range of connections between Ktheory, noncommmutative geometry, and other branches of mathematics
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Related Identities
 Raskind, Wayne 1959 Editor
 Mazza, Carlo 1974 Author
 Voevodsky, Vladimir
 Joint Summer Research Conference on Algebraic KTheory 1997 Seattle, Wash
 Clay Mathematics Institute Editor
 Cortiñas, Guillermo Author Editor
 American Mathematical Society Publisher
 Cuntz, Joachim J. R. 1948 Editor
 Nest, Ryszard Editor
 Karoubi, Max Editor
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Alternative Names
Charles Weibel Amerikaans wiskundige
Charles Weibel matemático estadounidense
Charles Weibel matematico statunitense
Charles Weibel mathématicien américain
Charles Weibel USamerikanischer Mathematiker
Weibel, C. 1950
Weibel, C. A.
Weibel, C. A. 1950
Weibel, Charles.
Weibel, Charles 1950
Weibel, Charles A.
Weibel, Charles Alexander 1950
Чарльз Вейбель американский математик
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