Connes, Alain
Overview
Works:  152 works in 434 publications in 6 languages and 6,737 library holdings 

Genres:  History Conference papers and proceedings 
Roles:  Author, Author of introduction, Editor, Collector, Interviewee, Creator, Thesis advisor, Other, Opponent 
Publication Timeline
.
Most widely held works by
Alain Connes
Conversations on mind, matter, and mathematics by
JeanPierre Changeux(
Book
)
18 editions published between 1995 and 1999 in English and Italian and held by 812 WorldCat member libraries worldwide
Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? JeanPierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues
18 editions published between 1995 and 1999 in English and Italian and held by 812 WorldCat member libraries worldwide
Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? JeanPierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues
Noncommutative geometry by
Alain Connes(
Book
)
33 editions published between 1993 and 2010 in 3 languages and held by 537 WorldCat member libraries worldwide
"Developed by Alain Connes, noncommutative geometry is the set of tools and methods that makes possible the classification and analysis of a broad range of objects beyond the reach of classical methods. This English version of the author's pathbreaking French book on the subject gives the definitive treatment of his revolutionary approach to measure theory, geometry, and mathematical physics. 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."Jacket
33 editions published between 1993 and 2010 in 3 languages and held by 537 WorldCat member libraries worldwide
"Developed by Alain Connes, noncommutative geometry is the set of tools and methods that makes possible the classification and analysis of a broad range of objects beyond the reach of classical methods. This English version of the author's pathbreaking French book on the subject gives the definitive treatment of his revolutionary approach to measure theory, geometry, and mathematical physics. 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."Jacket
On space and time by
Shahn Majid(
Book
)
22 editions published between 2008 and 2014 in English and held by 507 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
22 editions published between 2008 and 2014 in English and held by 507 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, quantum fields and motives by
Alain Connes(
Book
)
14 editions published in 2008 in English and held by 345 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."Jacket
14 editions published in 2008 in English and held by 345 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."Jacket
Noncommutative geometry : lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 39, 2000 by
Alain Connes(
Book
)
19 editions published in 2004 in English and German and held by 313 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
19 editions published in 2004 in English and German and held by 313 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
Matière à pensée by
JeanPierre Changeux(
Book
)
21 editions published between 1989 and 2008 in French and English and held by 299 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
21 editions published between 1989 and 2008 in French and English and held by 299 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
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
)
16 editions published between 1990 and 1991 in 3 languages and held by 284 WorldCat member libraries worldwide
16 editions published between 1990 and 1991 in 3 languages and held by 284 WorldCat member libraries worldwide
Triangle of thoughts by
Alain Connes(
Book
)
10 editions published in 2001 in English and held by 277 WorldCat member libraries worldwide
10 editions published in 2001 in English and held by 277 WorldCat member libraries worldwide
Géométrie non commutative by
Alain Connes(
Book
)
15 editions published between 1990 and 2005 in 4 languages and held by 241 WorldCat member libraries worldwide
15 editions published between 1990 and 2005 in 4 languages and held by 241 WorldCat member libraries worldwide
Mathématiques toutenun pour la licence 2 by
Xavier Buff(
Book
)
4 editions published between 2014 and 2015 in French and held by 187 WorldCat member libraries worldwide
Ce manuel s'inscrit dans une série en 3 volumes, conçue pour couvrir les programmes de mathématiques de la plupart des Licences scientifiques. Il complète le volume 2 en traitant certains sujets habituellement enseignés au niveau de la deuxième année de Licence et il couvre par ailleurs un "tronc commun" des programmes de mathématiques eu niveau de la 3e année. Il est composé de 9 modules regroupés en trois thèmes : Algèbre et Géométrie, Analyse, Probabilités et Statistique. L'ordre de lecture n'est pas toujours imposé, ce qui permet à l'étudiant, quel que soit son cursus, de s'initier à son rythme aux thèmes figurant à son programme et de conforter ses acquis. Avec cet ouvrage de référence, il dispose des définitions précises et des énoncés et démonstrations complètes de tous les résultats essentiels.120 exercices corrigés illustrent le cours. Pour les étudiants souhaitant aller plus loin, plus de 220 exercices supplémentaires sont proposés avec, pour un grand nombre d'entre eux, des solutions et des indications. Des corrigés détaillés sont disponibles sur le site
4 editions published between 2014 and 2015 in French and held by 187 WorldCat member libraries worldwide
Ce manuel s'inscrit dans une série en 3 volumes, conçue pour couvrir les programmes de mathématiques de la plupart des Licences scientifiques. Il complète le volume 2 en traitant certains sujets habituellement enseignés au niveau de la deuxième année de Licence et il couvre par ailleurs un "tronc commun" des programmes de mathématiques eu niveau de la 3e année. Il est composé de 9 modules regroupés en trois thèmes : Algèbre et Géométrie, Analyse, Probabilités et Statistique. L'ordre de lecture n'est pas toujours imposé, ce qui permet à l'étudiant, quel que soit son cursus, de s'initier à son rythme aux thèmes figurant à son programme et de conforter ses acquis. Avec cet ouvrage de référence, il dispose des définitions précises et des énoncés et démonstrations complètes de tous les résultats essentiels.120 exercices corrigés illustrent le cours. Pour les étudiants souhaitant aller plus loin, plus de 220 exercices supplémentaires sont proposés avec, pour un grand nombre d'entre eux, des solutions et des indications. Des corrigés détaillés sont disponibles sur le site
Noncommutative geometry and global analysis : conference in honor of Henri Moscovici, June 29July 4, 2009, Bonn, Germany(
Book
)
11 editions published in 2011 in English and held by 151 WorldCat member libraries worldwide
11 editions published in 2011 in English and held by 151 WorldCat member libraries worldwide
Symétries quantiques = Quantum symmetries : Les Houches, session LXIV, 1 Août  8 Septembre 1995 by Ecole d'ete de physique theorique(
Book
)
13 editions published in 1998 in English and held by 126 WorldCat member libraries worldwide
13 editions published in 1998 in English and held by 126 WorldCat member libraries worldwide
Renormalization and Galois theories by
J.P Ramis(
Book
)
10 editions published in 2009 in English and held by 111 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
10 editions published in 2009 in English and held by 111 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
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
)
8 editions published between 2010 and 2011 in English and held by 98 WorldCat member libraries worldwide
8 editions published between 2010 and 2011 in English and held by 98 WorldCat member libraries worldwide
Mathématiques : toutenun pour la licence(
Book
)
1 edition published in 2006 in French and held by 96 WorldCat member libraries worldwide
1 edition published in 2006 in French and held by 96 WorldCat member libraries worldwide
Triangle de pensées by
Alain Connes(
Book
)
6 editions published in 2000 in French and held by 95 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
6 editions published in 2000 in French and held by 95 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 (France)(
Book
)
8 editions published in 1979 in 3 languages and held by 89 WorldCat member libraries worldwide
8 editions published in 1979 in 3 languages and held by 89 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
)
5 editions published in 2011 in English and Undetermined and held by 88 WorldCat member libraries worldwide
5 editions published in 2011 in English and Undetermined and held by 88 WorldCat member libraries worldwide
The mathematical century : the 30 greatest problems of the last 100 years by
Piergiorgio Odifreddi(
Book
)
1 edition published in 2004 in French and held by 70 WorldCat member libraries worldwide
"The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details." "This book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentiethcentury mathematics."Jacket
1 edition published in 2004 in French and held by 70 WorldCat member libraries worldwide
"The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details." "This book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentiethcentury mathematics."Jacket
Visions in mathematics by
Noga Alon(
)
15 editions published in 2010 in English and held by 22 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 first 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
15 editions published in 2010 in English and held by 22 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 first 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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Changeux, JeanPierre Interviewee Author
 DeBevoise, M. B. Translator Editor
 Majid, Shahn Other Author Editor
 Doplicher, S. (Sergio) Editor
 Longo, Roberto Editor
 Ramis, JeanPierre (1943 ...). Publishing director
 Lichnerowicz, André 19151998
 Schützenberger, Marcel P.
 Marcolli, Matilde
 Dixmier, Jacques Editor Honoree Author Dedicatee
Useful Links
Associated Subjects
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 analysis 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
Alternative Names
Alain Connes francúzsky matematik
Alain Connes Frans wiskundige
Alain Connes fransk matematikar
Alain Connes fransk matematiker
Alain Connes französischer Mathematiker
Alain Connes French mathematician
Alain Connes matemàtic francès
Alain Connes matematician francez
Alain Connes matemático francés
Alain Connes matematico francese
Alain Connes matematyk francuski
Alain Connes mathématicien français
Connes, A.
Connes, A. 1947
Connes, A. (Alain)
Connes, Alain
Ален Конн
Конн, Ален
אלאן קון מתמטיקאי צרפתי
ألان كن
ألان كون رياضياتي فرنسي
الائن کونس
ඇලේන් කොනෙස්
အယ်လန်း ခွန်
알랭 콘
アラン・コンヌ フランスの数学者
コンヌ, アラン
阿蘭·科納
Languages
Covers