Connes, Alain
Overview
Works:  153 works in 374 publications in 6 languages and 5,925 library holdings 

Genres:  Conference proceedings History Fiction 
Roles:  Author, Author of introduction, Editor, Interviewee, Creator 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Alain Connes
Noncommutative geometry
by
Alain Connes(
)
36 editions published between 1990 and 2010 in 5 languages and held by 1,454 WorldCat member libraries worldwide
This English version of the pathbreaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. Key Features* First full treatment of the subject and its applications* Written by the pioneer of this field* Broad applications in mathemat
36 editions published between 1990 and 2010 in 5 languages and held by 1,454 WorldCat member libraries worldwide
This English version of the pathbreaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. Key Features* First full treatment of the subject and its applications* Written by the pioneer of this field* Broad applications in mathemat
Conversations on mind, matter, and mathematics
by
JeanPierre Changeux(
Book
)
44 editions published between 1989 and 2014 in 6 languages and held by 1,194 WorldCat member libraries worldwide
Les mathématiques et la biologie se trouvent aux deux extrémités du spectre de la science. D'un côté la rigueur logique, débarrassée de toute contingence matérielle, de l'autre une science d'observation, profondément tributaire de savoirfaire techniques et de concepts moraux. Ce livre d'entretiens tente de créer une passerelle entre ces disciplines que tout éloigne. Les deux auteurs, tous deux académiciens et professeurs au Collège de France, s'interrogent sur la nature de la pensée, l'existence des objets mathématiques ou le rapport entre le cerveau et les machines
44 editions published between 1989 and 2014 in 6 languages and held by 1,194 WorldCat member libraries worldwide
Les mathématiques et la biologie se trouvent aux deux extrémités du spectre de la science. D'un côté la rigueur logique, débarrassée de toute contingence matérielle, de l'autre une science d'observation, profondément tributaire de savoirfaire techniques et de concepts moraux. Ce livre d'entretiens tente de créer une passerelle entre ces disciplines que tout éloigne. Les deux auteurs, tous deux académiciens et professeurs au Collège de France, s'interrogent sur la nature de la pensée, l'existence des objets mathématiques ou le rapport entre le cerveau et les machines
On space and time
by
Shahn Majid(
Book
)
14 editions published between 2008 and 2012 in English and held by 504 WorldCat member libraries worldwide
This volume brings together world leaders in cosmology, particle physics, quantum gravity, mathematics, philosophy and theology, to provide fresh insights into the deep structure of space and time. In one essay, Andrew Taylor explains the evidence for dark matter and dark energy
14 editions published between 2008 and 2012 in English and held by 504 WorldCat member libraries worldwide
This volume brings together world leaders in cosmology, particle physics, quantum gravity, mathematics, philosophy and theology, to provide fresh insights into the deep structure of space and time. In one essay, Andrew Taylor explains the evidence for dark matter and dark energy
Noncommutative geometry : lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 39, 2000
by Centro Internazionale Matematico Estivo(
Book
)
15 editions published in 2004 in English and German and held by 412 WorldCat member libraries worldwide
Noncommutative Geometry is one of the most deep and vital research subjects of presentday Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, KTheory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists
15 editions published in 2004 in English and German and held by 412 WorldCat member libraries worldwide
Noncommutative Geometry is one of the most deep and vital research subjects of presentday Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, KTheory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists
Noncommutative geometry, quantum fields and motives
by
Alain Connes(
Book
)
11 editions published between 2007 and 2008 in English and held by 325 WorldCat member libraries worldwide
"The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motive aspects come to play a role: spacetime, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a longstanding problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces."BOOK JACKET
11 editions published between 2007 and 2008 in English and held by 325 WorldCat member libraries worldwide
"The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motive aspects come to play a role: spacetime, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a longstanding problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces."BOOK JACKET
Triangle of thoughts
by
Alain Connes(
Book
)
8 editions published in 2001 in English and Italian and held by 275 WorldCat member libraries worldwide
8 editions published in 2001 in English and Italian and held by 275 WorldCat member libraries worldwide
Operator algebras, unitary representations, enveloping algebras, and invariant theory : actes du colloque en l'honneur de Jacques Dixmier
by
Colloque en l'Honneur de Jacques Dixmier(
Book
)
10 editions published between 1990 and 1991 in 3 languages and held by 258 WorldCat member libraries worldwide
10 editions published between 1990 and 1991 in 3 languages and held by 258 WorldCat member libraries worldwide
Noncommutative geometry and global analysis : conference in honor of Henri Moscovici, June 29July 4, 2009, Bonn, Germany
(
Book
)
8 editions published in 2011 in English and held by 153 WorldCat member libraries worldwide
8 editions published in 2011 in English and held by 153 WorldCat member libraries worldwide
Symétries quantiques = Quantum symmetries : Les Houches, session LXIV, 1 Août  8 Septembre 1995
by HauteSavoie, France) Ecole d'été de physique théorique (Les Houches(
Book
)
9 editions published in 1998 in English and held by 129 WorldCat member libraries worldwide
9 editions published in 1998 in English and held by 129 WorldCat member libraries worldwide
Renormalization and Galois theories
(
Book
)
8 editions published in 2009 in English and held by 112 WorldCat member libraries worldwide
"This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopfalgebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics."Publisher's description
8 editions published in 2009 in English and held by 112 WorldCat member libraries worldwide
"This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopfalgebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics."Publisher's description
Mathématiques
(
Book
)
1 edition published in 2006 in French and held by 94 WorldCat member libraries worldwide
1 edition published in 2006 in French and held by 94 WorldCat member libraries worldwide
Triangle de pensées
by
Alain Connes(
Book
)
5 editions published in 2000 in French and held by 94 WorldCat member libraries worldwide
Ce dialogue entre trois mathématiciens offre une confrontation de trois points de vue sur les mathématiques et de trois pratiques de cette discipline. Le dialogue tourne autour de quatre thèmes : la nature des mathématiques, l'interprétation de la mécanique quantique et son unification avec la relativité, le temps mathématique et le temps humain
5 editions published in 2000 in French and held by 94 WorldCat member libraries worldwide
Ce dialogue entre trois mathématiciens offre une confrontation de trois points de vue sur les mathématiques et de trois pratiques de cette discipline. Le dialogue tourne autour de quatre thèmes : la nature des mathématiques, l'interprétation de la mécanique quantique et son unification avec la relativité, le temps mathématique et le temps humain
Algèbres d'opérateurs et leurs applications en physique mathématique : [colloque], Marseille, 2024 juin 1977
by Centre national de la recherche scientifique(
Book
)
7 editions published in 1979 in English and French and held by 90 WorldCat member libraries worldwide
7 editions published in 1979 in English and French and held by 90 WorldCat member libraries worldwide
Quanta of maths : conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29April 6, 2007
(
Book
)
4 editions published between 2010 and 2011 in English and held by 90 WorldCat member libraries worldwide
4 editions published between 2010 and 2011 in English and held by 90 WorldCat member libraries worldwide
Noncommutative geometry, arithmetic, and related topics : proceedings of the Twentyfirst Meeting of the JapanU.S. Mathematics Institute
by JapanUnited States mathematics institute(
Book
)
4 editions published in 2011 in English and held by 82 WorldCat member libraries worldwide
4 editions published in 2011 in English and held by 82 WorldCat member libraries worldwide
Les mathématiques à l'aube du XXIe siècle
by
Piergiorgio Odifreddi(
Book
)
1 edition published in 2005 in French and held by 69 WorldCat member libraries worldwide
Retrace l'aventure extraordinaire des mathématiques du XXe siècle, période pendant laquelle on a démontré plus de théorèmes que dans toute l'histoire précédente. Les idées, les résultats, les protagonistes principaux (médailles Fields et prix Wolf) et les problèmes encore non résolus sont présentés
1 edition published in 2005 in French and held by 69 WorldCat member libraries worldwide
Retrace l'aventure extraordinaire des mathématiques du XXe siècle, période pendant laquelle on a démontré plus de théorèmes que dans toute l'histoire précédente. Les idées, les résultats, les protagonistes principaux (médailles Fields et prix Wolf) et les problèmes encore non résolus sont présentés
La symétrie dans tous ses états
by
H Bacry(
Book
)
2 editions published in 2000 in French and held by 66 WorldCat member libraries worldwide
2 editions published in 2000 in French and held by 66 WorldCat member libraries worldwide
Mathématiques toutenun pour la licence 2
by
Xavier Buff(
Book
)
2 editions published in 2014 in French and held by 55 WorldCat member libraries worldwide
2 editions published in 2014 in French and held by 55 WorldCat member libraries worldwide
Visions in Mathematics GAFA 2000 Special volume, Part II
by N Alon(
)
4 editions published in 2010 in English and held by 40 WorldCat member libraries worldwide
"Visions in Mathematics  Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a twovolume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future
4 editions published in 2010 in English and held by 40 WorldCat member libraries worldwide
"Visions in Mathematics  Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a twovolume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future
Le théâtre quantique : l'horloge des anges icibas
by
Alain Connes(
Book
)
3 editions published in 2013 in French and held by 36 WorldCat member libraries worldwide
3 editions published in 2013 in French and held by 36 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Changeux, JeanPierre Interviewee Author
 Majid, Shahn Author Editor
 Doplicher, S. (Sergio) Editor
 Longo, Roberto Editor
 Schützenberger, Marcel P.
 Lichnerowicz, André 19151998
 Marcolli, Matilde
 Dixmier, Jacques Honoree Author Dedicatee
 Ramis, J.P (JeanPierre) Publishing director
 Warusfel, André (1936....). Publishing director
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Associated Subjects
Artificial intelligence Artificial intelligenceMathematics Brain Canada Commutative rings Functional analysis Galois theory Geometric quantization Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Invariants Lie algebras Lie groups Mathematical physics Mathematics MathematicsPhilosophy Motives (Mathematics) Neuropsychology Noncommutative algebras Noncommutative differential geometry Noncommutative rings Number theory Operator algebras Physics Quantum field theory Quantum groups Quantum theory Renormalization (Physics) SciencePhilosophy Scientists Space and time Symmetry (Physics) Thought and thinking United States Von Neumann algebras