WorldCat Identities

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
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Most widely held works about Charles A Weibel
 
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 half-century 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 semi-simple 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 K-theory : AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, Seattle by AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory( Book )

11 editions published in 1999 in English and held by 283 WorldCat member libraries worldwide

The K-book : an introduction to algebraic K-theory by Charles A Weibel( Book )

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

Homotopy in algebraic k-theory by Charles A Weibel( )

2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide

Two-primary algebraic K-theory of integers in number fields by John Rognes( Book )

1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide

A nonconnective delooping of algebraic K-theory by E. K Pedersen( Book )

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

Algebraic K-theory by AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory( )

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

Special issue on proceedings of Research Symposium on K-Theory and its Applications : Ibadan, Nigeria, 10-15 August 1987 by Research Symposium on K-Theory and Its Applications( Book )

1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide

K-theory and noncommutative geometry by ICM 2006 Satellite Conference on K-theory and Noncommutative Geometry( )

1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide

Since its inception 50 years ago, K-theory has been a tool for understanding a wide-ranging 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 K-theory 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 K-theory, 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 K-theory. There are primary and secondary Chern characters which pass from K-theory 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 K-theory, noncommmutative geometry, and other branches of mathematics
 
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An introduction to homological algebra
Alternative Names
Charles Weibel Amerikaans wiskundige

Charles Weibel matemático estadounidense

Charles Weibel matematico statunitense

Charles Weibel mathématicien américain

Charles Weibel US-amerikanischer 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

チャールズ・ウェイベル

Languages
English (76)

Covers
Algebraic K-theory : AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, SeattleLecture notes on motivic cohomologyAlgebraic K-theory