WorldCat Identities

Connes, Alain

Works: 184 works in 481 publications in 6 languages and 7,530 library holdings
Genres: Conference papers and proceedings  History 
Roles: Author, Author of introduction, Editor, Thesis advisor, Collector, Interviewee, Commentator, Other, Creator, Honoree, Opponent, 956, Restager
Classifications: QA26, 510.904
Publication Timeline
Most widely held works about Alain Connes
Most widely held works by Alain Connes
Noncommutative geometry by Alain Connes( )

47 editions published between 1990 and 2017 in 5 languages and held by 1,831 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 path-breaking 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 )

23 editions published between 2008 and 2014 in English and held by 951 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
Conversations on mind, matter, and mathematics by Jean-Pierre Changeux( Book )

20 editions published between 1995 and 1999 in 3 languages and held by 820 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? Jean-Pierre 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 : lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 3-9, 2000 by Alain Connes( Book )

19 editions published in 2004 in English and German and held by 507 WorldCat member libraries worldwide

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, 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
Mathématiques tout-en-un pour la licence 2 by Xavier Buff( Book )

7 editions published between 2006 and 2018 in French and held by 403 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, quantum fields and motives by Alain Connes( Book )

18 editions published between 2007 and 2019 in English and held by 373 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 motivic aspects come to play a role: space-time, 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 long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence. The second part of the book gives an interpretation of the Weil explicit formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. The book ends with a set of analogies between the noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to gravity and the moduli spaces of Q-lattices used in the study of the zeta function
Matière à pensée by Jean-Pierre Changeux( Book )

22 editions published between 1989 and 2008 in French and English and held by 296 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 savoir-faire 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 290 WorldCat member libraries worldwide

Triangle of thoughts by Alain Connes( Book )

9 editions published in 2001 in English and held by 261 WorldCat member libraries worldwide

Noncommutative geometry and global analysis : conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany( Book )

12 editions published between 2011 and 2012 in English and held by 204 WorldCat member libraries worldwide

Symétries quantiques = Quantum symmetries : Les Houches, session LXIV, 1 Août - 8 Septembre 1995 by Haute-Savoie, France) Ecole d'été de physique théorique (Les Houches( Book )

13 editions published in 1998 in English and held by 139 WorldCat member libraries worldwide

Renormalization and Galois theories( Book )

11 editions published in 2009 in English and held by 134 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 Hopf-algebraic 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
Triangle de pensées by Alain Connes( Book )

6 editions published in 2000 in French and held by 102 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, 20-24 juin 1977 by Centre national de la recherche scientifique (France)( Book )

9 editions published between 1970 and 1979 in 4 languages and held by 94 WorldCat member libraries worldwide

Noncommutative geometry, arithmetic, and related topics : proceedings of the Twenty-first Meeting of the Japan-U.S. Mathematics Institute by Japan-United States Mathematics Institute( Book )

5 editions published in 2011 in English and held by 90 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

Le XXe siècle a été le siècle des mathématiques : en cent ans on a démontré plus de théorèmes que dans toute l'histoire précédente. Beaucoup d'entre eux ont trouvé une application dans des domaines divers des sciences et même des lettres. Ce livre retrace, sous une forme facile et aisée, l'aventure extraordinaire des mathématiques du siècle dernier. Les idées, les résultats, les protagonistes principaux (Médailles Fields et prix Wolf) et les problèmes encore non résolus sont présentés. Le lecteur y trouvera exposés des travaux de génies comme Einstein et Gödel, les solutions de quelques dilemmes tels le théorème de Fermat et l'hypothèse du continu, et une introduction aux nouvelles frontières de la recherche mathématique. -- 4ème de couverture
Gedankenmaterie by Jean-Pierre Changeux( Book )

5 editions published between 1992 and 2014 in German and held by 69 WorldCat member libraries worldwide

Was ist die Natur mathematischer Objekte? Existieren sie unabh{ngig vom Gehirn des Menschen oder sind sie das Produkt der Gehirnaktivit{t? Kann schlie~lich echte k}nstliche Intelligenz aus unbelebter Materie entstehen? Diese und weitere bis hin zur Ethik auftretende Fragen werden in Dialogform dynamisch von zwei hervorragenden Fachleuten der Mathematik und der Neurowissenschaften in diesem Buch diskutiert. Diese Darstellungsform soll den Leser anregen, selbst zu dem bis auf Plato zur}ckgehenden Problemkreis nachzudenken. Daf}r relevante Erkenntnisse der modernen mathematischen und neurobiologischen Hirnforschung werden kompetent und allgemeinverst{ndlich bereitgestellt
La symétrie dans tous ses états by H Bacry( Book )

3 editions published in 2000 in French and held by 66 WorldCat member libraries worldwide

Visions in mathematics : GAFA 2000 special volume, part 2 by Noga Alon( )

4 editions published in 2010 in English and held by 62 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 two-volume 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
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Conversations on mind, matter, and mathematics
On space and timeConversations on mind, matter, and mathematicsNoncommutative geometry : lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 3-9, 2000Noncommutative geometry, quantum fields and motivesTriangle of thoughtsNoncommutative geometry and global analysis : conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, GermanySymétries quantiques = Quantum symmetries : Les Houches, session LXIV, 1 Août - 8 Septembre 1995Renormalization and Galois theories
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

الن کن ریاضی‌دان فرانسوی

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