Cartier, P. (Pierre)
Overview
Works:  164 works in 520 publications in 5 languages and 5,037 library holdings 

Genres:  Conference papers and proceedings Interviews 
Roles:  Author, Editor, Thesis advisor, Organizer of meeting, Author of introduction, Contributor, Commentator, Creator, Opponent, Other, Honoree 
Publication Timeline
.
Most widely held works about
P Cartier
 Mathématiques en liberté by P Cartier( Book )
 Cécile DeWittMorette Papers by Cécile DeWittMorette( )
 This issue is dedicated to Pierre Cartier on the occasion of his 70th birthday( )
Most widely held works by
P Cartier
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by
P Cartier(
)
98 editions published between 1990 and 2009 in 4 languages and held by 1,077 WorldCat member libraries worldwide
This threevolume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
98 editions published between 1990 and 2009 in 4 languages and held by 1,077 WorldCat member libraries worldwide
This threevolume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
Problèmes combinatoires de commutation et réarrangements by
P Cartier(
Book
)
24 editions published between 1969 and 2008 in 3 languages and held by 579 WorldCat member libraries worldwide
24 editions published between 1969 and 2008 in 3 languages and held by 579 WorldCat member libraries worldwide
Frontiers in number theory, physics, and geometry by
P Cartier(
)
37 editions published between 2003 and 2011 in English and held by 549 WorldCat member libraries worldwide
This text (together with a forthcoming second volume) presents most of the courses and seminars delivered at the meeting entitled "Frontiers in number theory, physics and geometry" which took place at the Centre de Physique des Houches in the French Alps, March 912, 2003
37 editions published between 2003 and 2011 in English and held by 549 WorldCat member libraries worldwide
This text (together with a forthcoming second volume) presents most of the courses and seminars delivered at the meeting entitled "Frontiers in number theory, physics and geometry" which took place at the Centre de Physique des Houches in the French Alps, March 912, 2003
Classification des groupes algébriques semisimples / The classification of semisimple algebraic groups by
C Chevalley(
)
20 editions published between 2004 and 2005 in French and English and held by 350 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J.L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups
20 editions published between 2004 and 2005 in French and English and held by 350 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J.L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups
From number theory to physics by
Michel Waldschmidt(
Book
)
21 editions published between 1992 and 2010 in English and German and held by 339 WorldCat member libraries worldwide
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, selfcontained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint
21 editions published between 1992 and 2010 in English and German and held by 339 WorldCat member libraries worldwide
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, selfcontained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint
Freedom in mathematics by
P Cartier(
)
14 editions published between 2016 and 2018 in English and Undetermined and held by 311 WorldCat member libraries worldwide
This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani's popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies
14 editions published between 2016 and 2018 in English and Undetermined and held by 311 WorldCat member libraries worldwide
This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani's popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies
Integrable systems : the Verdier Memorial Conference : actes du colloque international de Luminy by
Olivier Babelon(
Book
)
13 editions published in 1993 in English and held by 284 WorldCat member libraries worldwide
This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.L. Verdier. It was held on July 15, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinitedimensional, with an emphasis on the algebrogeometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them
13 editions published in 1993 in English and held by 284 WorldCat member libraries worldwide
This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.L. Verdier. It was held on July 15, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinitedimensional, with an emphasis on the algebrogeometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them
Functional integration : action and symmetries by
Pierre Cartier(
Book
)
1 edition published in 2006 in English and held by 182 WorldCat member libraries worldwide
In this text, Cartier and DeWittMorette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool
1 edition published in 2006 in English and held by 182 WorldCat member libraries worldwide
In this text, Cartier and DeWittMorette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool
Functional integration : basics and applications by
Cécile DeWittMorette(
Book
)
7 editions published in 1997 in English and held by 171 WorldCat member libraries worldwide
The program of the Institute covered several aspects of functional integration from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage crossfertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S.K. Foong), in particular a waverestorer or wavedesigner algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a welldefined quantum theory in spaces with curvature and torsion
7 editions published in 1997 in English and held by 171 WorldCat member libraries worldwide
The program of the Institute covered several aspects of functional integration from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage crossfertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S.K. Foong), in particular a waverestorer or wavedesigner algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a welldefined quantum theory in spaces with curvature and torsion
Frontiers in number theory, physics and geometry by
P Cartier(
)
26 editions published between 2006 and 2011 in English and held by 144 WorldCat member libraries worldwide
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Conformal Field Theories, Discrete Groups, Renormalization. The companion volume is subtitled: "On Random Matrices, Zeta Functions and Dynamical Systems" (Springer, 3540231897)
26 editions published between 2006 and 2011 in English and held by 144 WorldCat member libraries worldwide
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Conformal Field Theories, Discrete Groups, Renormalization. The companion volume is subtitled: "On Random Matrices, Zeta Functions and Dynamical Systems" (Springer, 3540231897)
Collected works by
C Chevalley(
Book
)
8 editions published between 1996 and 1997 in English and held by 144 WorldCat member libraries worldwide
8 editions published between 1996 and 1997 in English and held by 144 WorldCat member libraries worldwide
The algebraic theory of spinors and Clifford algebras by
C Chevalley(
Book
)
7 editions published between 1996 and 1997 in English and held by 115 WorldCat member libraries worldwide
Volume 2
7 editions published between 1996 and 1997 in English and held by 115 WorldCat member libraries worldwide
Volume 2
Lectures on integrable systems : in memory of JeanLouis Verdier : proceedings of the CIMPA School, 1028 June 1991, Nice,
France by C.I.M.P.A. School on Integrable Systems(
Book
)
10 editions published in 1994 in English and held by 81 WorldCat member libraries worldwide
10 editions published in 1994 in English and held by 81 WorldCat member libraries worldwide
The Grothendieck festschrift(
Book
)
21 editions published between 1990 and 2007 in English and held by 67 WorldCat member libraries worldwide
21 editions published between 1990 and 2007 in English and held by 67 WorldCat member libraries worldwide
Mathématiques en liberté by
P Cartier(
Book
)
2 editions published in 2012 in French and held by 65 WorldCat member libraries worldwide
2 editions published in 2012 in French and held by 65 WorldCat member libraries worldwide
Le réel en mathématiques : psychanalyse et mathématiques by
Colloque de Cerisy(
Book
)
6 editions published in 2004 in French and held by 44 WorldCat member libraries worldwide
6 editions published in 2004 in French and held by 44 WorldCat member libraries worldwide
Problèmes combinatoires de commutation et réarrangements by
P Cartier(
Book
)
4 editions published between 1969 and 2006 in French and Italian and held by 42 WorldCat member libraries worldwide
4 editions published between 1969 and 2006 in French and Italian and held by 42 WorldCat member libraries worldwide
Séminaire Bourbaki vol. 1976/77 Exposés 489506 by
W Borho(
)
1 edition published in 1978 in French and held by 42 WorldCat member libraries worldwide
1 edition published in 1978 in French and held by 42 WorldCat member libraries worldwide
Collected works = The classification of semisimple algebraic groups by
C Chevalley(
Book
)
3 editions published in 2005 in French and English and held by 21 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J.L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups. TOC:Définition des Variétés Algébriques. Schémas des Variétés Algébriques. Groupes Algébriques. Groupes Algébriques Affines Commutatifs. Compléments de Géométrie Algébrique. Les Théorèmes de Structure Fondamentaux pour les Groupes Algébriques Affines. Sousgroupes de Cartan, Eléments Réguliers. Groupes Algébriques Affines de Dimension 1. Espaces Homogènes de Groupes Algébriques. Le Normalisateur d'un Groupe de Borel. Les tores singuliers. Le Groupe de Weyl: Chambres et Réflexions. Racines. Groupes Semisimples: structure de B et de G/B. Groupes finis engendrés par des Réflexions. Les Systèmes Linéaires sur G/B. Les poids dominants. Les Sousgroupes radiciels. Les isogénies. Les Diagrammes de Dynkin. Les groupes de Type An, G2, Cn. Existence d'isogénies. Conclusion. Index
3 editions published in 2005 in French and English and held by 21 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J.L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups. TOC:Définition des Variétés Algébriques. Schémas des Variétés Algébriques. Groupes Algébriques. Groupes Algébriques Affines Commutatifs. Compléments de Géométrie Algébrique. Les Théorèmes de Structure Fondamentaux pour les Groupes Algébriques Affines. Sousgroupes de Cartan, Eléments Réguliers. Groupes Algébriques Affines de Dimension 1. Espaces Homogènes de Groupes Algébriques. Le Normalisateur d'un Groupe de Borel. Les tores singuliers. Le Groupe de Weyl: Chambres et Réflexions. Racines. Groupes Semisimples: structure de B et de G/B. Groupes finis engendrés par des Réflexions. Les Systèmes Linéaires sur G/B. Les poids dominants. Les Sousgroupes radiciels. Les isogénies. Les Diagrammes de Dynkin. Les groupes de Type An, G2, Cn. Existence d'isogénies. Conclusion. Index
Collected works by
C Chevalley(
)
in English and Undetermined and held by 20 WorldCat member libraries worldwide
in English and Undetermined and held by 20 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Grothendieck, A. (Alexandre) Other Honoree Dedicatee Author Editor
 Chevalley, C. (Claude) 19091984 Author
 Foata, Dominique
 Centre de physique des Houches
 Babelon, Olivier 1951 Author Editor
 KosmannSchwarzbach, Yvette 1941 Editor
 DeWittMorette, Cécile Editor
 Lazard, Michel 1924 Other
 Waldschmidt, Michel 1946 Editor
 Dhombres, Jean G.
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic topology Automorphic forms Cartier, P.(Pierre) Categories (Mathematics) Clifford algebras Combinatorial analysis Conformal geometry DeWitt, Bryce S.(Bryce Seligman), Differentiable dynamical systems Discrete groups Engineering mathematics France Functional analysis Functions, Zeta Geometry Geometry, Algebraic Geometry, Differential Graph theory Grothendieck, A.(Alexandre) Group theory Hamiltonian systems History Hopf algebras Integral transforms Integration, Functional Ktheory Lacan, Jacques, Linear algebraic groups Mathematical physics Mathematicians Mathematics MathematicsPhilosophy MathematicsResearch MathematicsSocial aspects MathematicsStudy and teaching Number theory Physical organic chemistry Physics Quantum field theory Random matrices Renormalization (Physics) Social sciences Spinor analysis University of Texas at Austin.Department of Physics Villani, Cédric,
Covers
Alternative Names
Cartier P.
Cartier, P. 1932
Cartier, Pierre
Cartier, Pierre Emile 1932
Cartier, Pierre Emile Jean 1932
Pierre Cartier franca matematikisto
Pierre Cartier Frans wiskundige
Pierre Cartier fransk matematikar
Pierre Cartier fransk matematiker
Pierre Cartier französischer Mathematiker
Pierre Cartier French mathematician
Pierre Cartier matemàtic francès
Pierre Cartier matemático francés
Pierre Cartier mathématicien français
Пьер Картье французский математик
بيير كارتير رياضياتي فرنسي
피에르 카르티에
ピエール・カルティエ フランスの数学者
皮耶·卡蒂埃
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