Cartier, P. (Pierre)
Overview
Works:  124 works in 458 publications in 6 languages and 4,691 library holdings 

Genres:  Conference papers and proceedings Interviews 
Roles:  Author, Editor, Other, Organizer of meeting, Thesis advisor, Author of introduction, Creator, Honoree, Contributor 
Classifications:  QA3, 512.8 
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(
Book
)
101 editions published between 1990 and 2007 in 5 languages and held by 478 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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 theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.M. Bismut; S. Bloch; L. Breen; J.L. Brylinski; J. Dieudonné; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soulé; J. Tate; M. van den Bergh; and A.N. Varchenko
101 editions published between 1990 and 2007 in 5 languages and held by 478 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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 theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.M. Bismut; S. Bloch; L. Breen; J.L. Brylinski; J. Dieudonné; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soulé; J. Tate; M. van den Bergh; and A.N. Varchenko
Problèmes combinatoires de commutation et réarrangements by
P Cartier(
Book
)
26 editions published between 1969 and 2008 in 4 languages and held by 424 WorldCat member libraries worldwide
26 editions published between 1969 and 2008 in 4 languages and held by 424 WorldCat member libraries worldwide
From number theory to physics by
Michel Waldschmidt(
Book
)
15 editions published between 1992 and 2010 in English and German and held by 319 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
15 editions published between 1992 and 2010 in English and German and held by 319 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
Functional integration : action and symmetries by
P Cartier(
Book
)
15 editions published between 2006 and 2010 in English and held by 233 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
15 editions published between 2006 and 2010 in English and held by 233 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
Frontiers in number theory, physics, and geometry by
P Cartier(
Book
)
36 editions published between 2003 and 2011 in English and held by 230 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
36 editions published between 2003 and 2011 in English and held by 230 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
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 217 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 217 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
Collected works by
C Chevalley(
Book
)
9 editions published in 1997 in English and held by 137 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 137 WorldCat member libraries worldwide
Functional integration : basics and applications by
Cécile DeWittMorette(
Book
)
7 editions published in 1997 in English and held by 126 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 126 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
The algebraic theory of spinors and Clifford algebras by
C Chevalley(
Book
)
9 editions published between 1996 and 1997 in English and held by 116 WorldCat member libraries worldwide
Volume 2
9 editions published between 1996 and 1997 in English and held by 116 WorldCat member libraries worldwide
Volume 2
Classification des groupes algébriques semisimples / The classification of semisimple algebraic groups by
C Chevalley(
Book
)
20 editions published between 2004 and 2005 in French and English and held by 97 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 "Sminaire Chevalley" held at the Ecole Normale Suprieure 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
20 editions published between 2004 and 2005 in French and English and held by 97 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 "Sminaire Chevalley" held at the Ecole Normale Suprieure 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
Lectures on integrable systems : in memory of JeanLouis Verdier : proceedings of the CIMPA School, 1028 June 1991, Nice,
France by CIMPA School on Integrable Systems(
Book
)
9 editions published in 1994 in English and held by 78 WorldCat member libraries worldwide
9 editions published in 1994 in English and held by 78 WorldCat member libraries worldwide
Mémoires pour servir à l'histoire naturelle des pétrifications dans les quatre parties du monde avec figures, et divers
indices aussi méthodiques que nécessaires by
Louis Bourguet(
Book
)
25 editions published between 1742 and 1778 in French and held by 66 WorldCat member libraries worldwide
25 editions published between 1742 and 1778 in French and held by 66 WorldCat member libraries worldwide
Mathématiques en liberté by
P Cartier(
Book
)
2 editions published in 2012 in French and held by 63 WorldCat member libraries worldwide
2 editions published in 2012 in French and held by 63 WorldCat member libraries worldwide
Frontiers in number theory, physics and geometry by
P Cartier(
Book
)
22 editions published between 2006 and 2007 in English and held by 59 WorldCat member libraries worldwide
"The present book collects most of the courses and seminars delivered at the meetingentitled"FrontiersinNumberTheory,PhysicsandGeometry",which tookplaceattheCentredePhysiquedesHouchesintheFrenchAlps,March9 21,2003.Itisdividedintotwovolumes.VolumeIcontainsthecontributionson three broad topics: Random matrices, Zeta functions and Dynamical systems. Thepresentvolumecontainssixteencontributionsonthreethemes:Conformal ?eld theories for strings and branes, Discrete groups and automorphic forms and ?nally, Hopf algebras and renormalization. The relation between Mathematics and Physics has a long history. Let us mentiononlyordinarydi?erentialequationsandmechanics,partialdi?erential equations in solid and ?uid mechanics or electrodynamics, group theory is essential in crystallography, elasticity or quantum mechanics... The role of number theory and of more abstract parts of mathematics such as topological, di?erential and algebraic geometry in physics has become prominent more recently. Diverse instances of this trend appear in the works of such scientists as V. Arnold, M. Atiyah, M. Berry, F. Dyson, L. Faddeev, D. Hejhal, C. Itzykson, V. Kac, Y. Manin, J. Moser, W. Nahm, A. Polyakov, D. Ruelle, A. Selberg, C. Siegel, S. Smale, E. Witten and many others. In 1989 a ?rst meeting took place at the Centre de Physique des Houches. The triggering idea was due at that time to the late Claude Itzykson (1938 1995). The meeting gathered physicists and mathematicians, and was the occasion of long and passionate discussions."  Font no determinada
22 editions published between 2006 and 2007 in English and held by 59 WorldCat member libraries worldwide
"The present book collects most of the courses and seminars delivered at the meetingentitled"FrontiersinNumberTheory,PhysicsandGeometry",which tookplaceattheCentredePhysiquedesHouchesintheFrenchAlps,March9 21,2003.Itisdividedintotwovolumes.VolumeIcontainsthecontributionson three broad topics: Random matrices, Zeta functions and Dynamical systems. Thepresentvolumecontainssixteencontributionsonthreethemes:Conformal ?eld theories for strings and branes, Discrete groups and automorphic forms and ?nally, Hopf algebras and renormalization. The relation between Mathematics and Physics has a long history. Let us mentiononlyordinarydi?erentialequationsandmechanics,partialdi?erential equations in solid and ?uid mechanics or electrodynamics, group theory is essential in crystallography, elasticity or quantum mechanics... The role of number theory and of more abstract parts of mathematics such as topological, di?erential and algebraic geometry in physics has become prominent more recently. Diverse instances of this trend appear in the works of such scientists as V. Arnold, M. Atiyah, M. Berry, F. Dyson, L. Faddeev, D. Hejhal, C. Itzykson, V. Kac, Y. Manin, J. Moser, W. Nahm, A. Polyakov, D. Ruelle, A. Selberg, C. Siegel, S. Smale, E. Witten and many others. In 1989 a ?rst meeting took place at the Centre de Physique des Houches. The triggering idea was due at that time to the late Claude Itzykson (1938 1995). The meeting gathered physicists and mathematicians, and was the occasion of long and passionate discussions."  Font no determinada
Introduction aux problemes mathematiques de la mecanique quantique by
P Cartier(
Book
)
3 editions published in 1971 in French and held by 16 WorldCat member libraries worldwide
3 editions published in 1971 in French and held by 16 WorldCat member libraries worldwide
Dérivations et diviseurs en géométrie algébrique by
P Cartier(
Book
)
6 editions published between 1958 and 1959 in French and held by 14 WorldCat member libraries worldwide
6 editions published between 1958 and 1959 in French and held by 14 WorldCat member libraries worldwide
Introduction à l'analyse fonctionnelle : espaces métriques. Espaces normés by
P Cartier(
Book
)
6 editions published in 1971 in 3 languages and held by 14 WorldCat member libraries worldwide
6 editions published in 1971 in 3 languages and held by 14 WorldCat member libraries worldwide
Mathematics in the 21st century : 6th World Conference, Lahore, March 2013 by
P Cartier(
Book
)
7 editions published in 2015 in English and held by 10 WorldCat member libraries worldwide
Numerous wellpresented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented
7 editions published in 2015 in English and held by 10 WorldCat member libraries worldwide
Numerous wellpresented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented
Freedom in mathematics by
P Cartier(
Book
)
7 editions published in 2016 in English and held by 4 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
7 editions published in 2016 in English and held by 4 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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Grothendieck, A. (Alexandre) Other Honoree Author Dedicatee
 Chevalley, C. (Claude) 19091984 Author
 Foata, Dominique
 Centre de physique des Houches
 Waldschmidt, Michel 1946 Editor
 Babelon, Olivier 1951 Author Editor
 KosmannSchwarzbach, Yvette 1941 Editor
 Lazard, Michel 1924 Other
 Verdier, Jean Louis Dedicatee
 Chevalley, Catherine Editor
Useful Links
Associated Subjects
Algebra Algebraic topology Automorphic forms Clifford algebras Combinatorial analysis Conformal geometry DeWitt, Bryce S.(Bryce Seligman), Differentiable dynamical systems Discrete groups Engineering mathematics France Functional analysis Functions, Zeta Geology Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Graph theory Grothendieck, A.(Alexandre) Group theory Hamiltonian systems History Hopf algebras Integral transforms Integration, Functional Ktheory Linear algebraic groups Mathematical physics Mathematicians Mathematics MathematicsData processing MathematicsExperiments MathematicsPhilosophy MathematicsResearch MathematicsSocial aspects MathematicsStudy and teaching Mineralogy Number theory Paleontology Petrifaction 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,
Alternative Names
Cartier, P.
Cartier, P. 1932
Cartier, Pierre
Cartier, Pierre Emile 1932
Cartier, Pierre Emile Jean 1932
Pierre Cartier Frans wiskundige
Pierre Cartier fransk matematikar
Pierre Cartier fransk matematiker
Pierre Cartier französischer Mathematiker
Pierre Cartier French mathematician
Пьер Картье французский математик
피에르 카르티에
ピエール・カルティエ フランスの数学者
Languages
Covers