Cartier, P. (Pierre)
Overview
Works:  95 works in 375 publications in 6 languages and 4,353 library holdings 

Genres:  Conference papers and proceedings Interviews 
Roles:  Author, Editor, Author of introduction, Other, Creator, Thesis advisor, Honoree 
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
Problèmes combinatoires de commutation et réarrangements by
P Cartier(
Book
)
26 editions published between 1969 and 2008 in 4 languages and held by 427 WorldCat member libraries worldwide
26 editions published between 1969 and 2008 in 4 languages and held by 427 WorldCat member libraries worldwide
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by
P Cartier(
Book
)
87 editions published between 1990 and 2007 in 5 languages and held by 423 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
87 editions published between 1990 and 2007 in 5 languages and held by 423 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
From number theory to physics by
Michel Waldschmidt(
Book
)
16 editions published between 1992 and 2010 in English and German and held by 320 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
16 editions published between 1992 and 2010 in English and German and held by 320 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
)
14 editions published between 2006 and 2010 in English and held by 224 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
14 editions published between 2006 and 2010 in English and held by 224 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
Integrable systems : the Verdier Memorial Conference : actes du colloque international de Luminy by
Olivier Babelon(
Book
)
11 editions published in 1993 in English and held by 199 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
11 editions published in 1993 in English and held by 199 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
Frontiers in number theory, physics, and geometry by
P Cartier(
Book
)
12 editions published in 2006 in English and held by 177 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
12 editions published in 2006 in English and held by 177 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
Functional integration : basics and applications by NATO advanced study institute on functional integration : basics and applications(
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
Collected works by
C Chevalley(
Book
)
in English and held by 125 WorldCat member libraries worldwide
in English and held by 125 WorldCat member libraries worldwide
The algebraic theory of spinors and Clifford algebras by
C Chevalley(
Book
)
9 editions published between 1996 and 1997 in English and held by 117 WorldCat member libraries worldwide
Volume 2
9 editions published between 1996 and 1997 in English and held by 117 WorldCat member libraries worldwide
Volume 2
Classification des groupes algébriques semisimples / The classification of semisimple algebraic groups by
C Chevalley(
Book
)
24 editions published between 2004 and 2005 in French and English and held by 101 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
24 editions published between 2004 and 2005 in French and English and held by 101 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 79 WorldCat member libraries worldwide
9 editions published in 1994 in English and held by 79 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
)
21 editions published between 2006 and 2007 in English and held by 55 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)
21 editions published between 2006 and 2007 in English and held by 55 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)
Frontiers in number theory, physics, and geometry by
P Cartier(
Book
)
22 editions published between 2006 and 2011 in English and held by 48 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
22 editions published between 2006 and 2011 in English and held by 48 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
Le réel en mathématiques : psychanalyse et mathématiques by
Colloque de Cerisy(
Book
)
5 editions published in 2004 in French and held by 42 WorldCat member libraries worldwide
5 editions published in 2004 in French and held by 42 WorldCat member libraries worldwide
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
The Grothendieck festschrift by Pierre Cartierluc Illusie(
Book
)
2 editions published between 1990 and 2007 in English and held by 14 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
2 editions published between 1990 and 2007 in English and held by 14 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
The Grothendieck festschrift(
Book
)
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
Mathematics in the 21st century : 6th World Conference, Lahore, March 2013 by
P Cartier(
Book
)
6 editions published in 2015 in English and held by 9 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
6 editions published in 2015 in English and held by 9 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
The Grothendieck festschrift a collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Vol.
III(
Book
)
2 editions published between 1990 and 2007 in English and held by 0 WorldCat member libraries worldwide
Comprises of articles that were offered as a tribute to one of the world's greatest mathematician, Alexander Grothendieck. This book carries contributions that contain material that is considered foundational to the subject. It carries topics that are addressed by topnotch contributors to match the breadth of Grothendieck's own interests
2 editions published between 1990 and 2007 in English and held by 0 WorldCat member libraries worldwide
Comprises of articles that were offered as a tribute to one of the world's greatest mathematician, Alexander Grothendieck. This book carries contributions that contain material that is considered foundational to the subject. It carries topics that are addressed by topnotch contributors to match the breadth of Grothendieck's own interests
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Related Identities
 Grothendieck, A. (Alexandre) Other Honoree Author
 Chevalley, C. (Claude) 19091984 Author
 Foata, Dominique
 Centre de physique des Houches
 Lazard, Michel 1924 Other
 Waldschmidt, Michel 1946 Editor
 Babelon, Olivier 1951 Author Editor
 KosmannSchwarzbach, Yvette 1941 Editor
 Chevalley, Catherine Editor
 Verdier, Jean Louis Dedicatee
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Associated Subjects
Algebra Algebraic topology Automorphic forms Clifford algebras Combinatorial analysis Conformal geometry DeWitt, Bryce S.(Bryce Seligman), Differentiable dynamical systems Discrete groups France Functional analysis Functions, Zeta Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Graph theory Grothendieck, A.(Alexandre) Group theory Hamiltonian systems Hopf algebras Integral transforms Integration, Functional Ktheory Lacan, Jacques, Linear algebraic groups Mathematical physics Mathematicians Mathematics MathematicsData processing MathematicsExperiments MathematicsPhilosophy MathematicsResearch MathematicsSocial aspects MathematicsStudy and teaching Number theory Physical organic chemistry Physics Quantum field theory Random matrices Renormalization (Physics) Spinor analysis University of Texas at Austin.Department of Physics Villani, Cédric,
Alternative Names
Cartier, P.
Cartier, P. 1932
Cartier, Pierre
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
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