Paycha, Sylvie
Overview
Works:  54 works in 204 publications in 3 languages and 6,446 library holdings 

Genres:  Conference papers and proceedings History Exhibition catalogs 
Roles:  Editor, Author, Thesis advisor, 956, Opponent, Other 
Publication Timeline
.
Most widely held works by
Sylvie Paycha
European women in mathematics : proceedings of the 13th General Meeting, University of Cambridge, UK, 36 September 2007 by
European Women in Mathematics(
)
23 editions published between 2001 and 2010 in English and held by 2,376 WorldCat member libraries worldwide
This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM). These contributions serve as excellent surveys of their subject areas, including symplectic topology, combinatorics and number theory. The volume moreover sheds light on prominent women mathematicians who worked in Cambridge in the late 19th and early 20th centuries by providing an insightful historical introduction at the beginning of the volume. The volume concludes with short contributions from women mathematicians from across Europe working in various areas of mathematics ranging from group theory to magnetic fields
23 editions published between 2001 and 2010 in English and held by 2,376 WorldCat member libraries worldwide
This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM). These contributions serve as excellent surveys of their subject areas, including symplectic topology, combinatorics and number theory. The volume moreover sheds light on prominent women mathematicians who worked in Cambridge in the late 19th and early 20th centuries by providing an insightful historical introduction at the beginning of the volume. The volume concludes with short contributions from women mathematicians from across Europe working in various areas of mathematics ranging from group theory to magnetic fields
Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 1230 July 1999 by
Hernán Ocampo(
)
14 editions published in 2001 in English and held by 1,369 WorldCat member libraries worldwide
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, SiebergWitten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, SiebergWitten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven selfcontained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school
14 editions published in 2001 in English and held by 1,369 WorldCat member libraries worldwide
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, SiebergWitten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, SiebergWitten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven selfcontained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school
Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 927
July 2001 by Summer School Geometric and Topological Methods for Quantum Field Theory(
)
4 editions published in 2003 in English and held by 897 WorldCat member libraries worldwide
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, ChernSimons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school
4 editions published in 2003 in English and held by 897 WorldCat member libraries worldwide
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, ChernSimons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school
Geometric and topological methods for quantum field theory by
Hernan Ocampo(
)
30 editions published between 2005 and 2010 in English and held by 787 WorldCat member libraries worldwide
"This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is selfcontained and can be read independently."Jacket
30 editions published between 2005 and 2010 in English and held by 787 WorldCat member libraries worldwide
"This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is selfcontained and can be read independently."Jacket
Geometric and topological methods for quantum field theory : Summer School on Geometric and Topological Methods for Quantum
Field Theory, July 1129, 2005, Villa de Leyva, Colombia by Summer School on geometric and topological methods for quantum field theory(
Book
)
14 editions published between 2007 and 2012 in English and held by 234 WorldCat member libraries worldwide
14 editions published between 2007 and 2012 in English and held by 234 WorldCat member libraries worldwide
Quantization, geometry and noncommutative structures in mathematics and physics by
Alexander Cardona(
)
9 editions published in 2017 in English and German and held by 195 WorldCat member libraries worldwide
This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics. The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics. A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt. The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a noncommutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of spacetime into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved spacetime, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to noncommutativity. An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the BatalinVilkovisky formalism and direct products of spectral triples. This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory
9 editions published in 2017 in English and German and held by 195 WorldCat member libraries worldwide
This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics. The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics. A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt. The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a noncommutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of spacetime into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved spacetime, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to noncommutativity. An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the BatalinVilkovisky formalism and direct products of spectral triples. This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory
Regularised integrals, sums, and traces : an analytic point of view by
Sylvie Paycha(
Book
)
13 editions published between 2012 and 2013 in English and held by 194 WorldCat member libraries worldwide
""Regularization techniques"" is the common name for a variety of methods used to make sense of divergent series, divergent integrals, or traces of linear operators in infinitedimensional spaces. Such methods are often indispensable in problems of number theory, geometry, quantum field theory, and other areas of mathematics and theoretical physics. However arbitrary and noncanonical they might seem at first glance, regularized sums, integrals, and traces often contain canonical concepts, and the main purpose of this book is to illustrate and explain this. This book provides a unified and self
13 editions published between 2012 and 2013 in English and held by 194 WorldCat member libraries worldwide
""Regularization techniques"" is the common name for a variety of methods used to make sense of divergent series, divergent integrals, or traces of linear operators in infinitedimensional spaces. Such methods are often indispensable in problems of number theory, geometry, quantum field theory, and other areas of mathematics and theoretical physics. However arbitrary and noncanonical they might seem at first glance, regularized sums, integrals, and traces often contain canonical concepts, and the main purpose of this book is to illustrate and explain this. This book provides a unified and self
Nouveaux invariants en géométrie et en topologie by
Michèle Audin(
Book
)
4 editions published in 2001 in French and English and held by 127 WorldCat member libraries worldwide
4 editions published in 2001 in French and English and held by 127 WorldCat member libraries worldwide
A mathematical introduction to string theory : variational problems, geometric and probabilistic methods by
Sergio Albeverio(
Book
)
6 editions published between 1997 and 1999 in English and held by 72 WorldCat member libraries worldwide
This book deals with the mathematical aspects of string theory
6 editions published between 1997 and 1999 in English and held by 72 WorldCat member libraries worldwide
This book deals with the mathematical aspects of string theory
Renormalizations : proceedings of a workshop ; I.H.P., Paris, June 14 and June 15, 1996(
Book
)
7 editions published between 1996 and 1997 in English and French and held by 29 WorldCat member libraries worldwide
7 editions published between 1996 and 1997 in English and French and held by 29 WorldCat member libraries worldwide
Probability measures on infinite dimensional manifolds and Polyakov strings by
Sylvie Paycha(
)
4 editions published in 1988 in English and German and held by 25 WorldCat member libraries worldwide
4 editions published in 1988 in English and German and held by 25 WorldCat member libraries worldwide
Geometric and topological methods for quantum field theory : proceedings of the 2009 Villa de Leyva summer school by
Alexander Cardona(
)
11 editions published between 2003 and 2014 in English and held by 22 WorldCat member libraries worldwide
Introduction; CONTENTS; Part A LECTURES; Spectral Geometry B. Iochum; 1. Motivations; 2. Wodzicki residue and kernel near the diagonal; 2.1. A quick overview on pseudodifferential operators; 2.2. Case of manifolds; 2.3. Singularities of the kernel near the diagonal; 2.4. Wodzicki residue; 3. Dixmier trace; 3.1. Singular values of compact operators; 3.2. Dixmier trace; 4. Dirac operator; 4.1. Definition and main properties; 4.2. Dirac operators and change of metrics; 5. Heat kernel expansion; 5.1. The asymptotics of heat kernel; 5.2. Wodzicki residue and heat expansion
11 editions published between 2003 and 2014 in English and held by 22 WorldCat member libraries worldwide
Introduction; CONTENTS; Part A LECTURES; Spectral Geometry B. Iochum; 1. Motivations; 2. Wodzicki residue and kernel near the diagonal; 2.1. A quick overview on pseudodifferential operators; 2.2. Case of manifolds; 2.3. Singularities of the kernel near the diagonal; 2.4. Wodzicki residue; 3. Dixmier trace; 3.1. Singular values of compact operators; 3.2. Dixmier trace; 4. Dirac operator; 4.1. Definition and main properties; 4.2. Dirac operators and change of metrics; 5. Heat kernel expansion; 5.1. The asymptotics of heat kernel; 5.2. Wodzicki residue and heat expansion
Renormalizations : proceedings of a workshop, I.H.P., Paris, June 14 and June 15, 1996 : meeting organized by Femmes et Matheḿatiques
and European Women in Mathematics by
Femmes et mathematiques(
Book
)
9 editions published between 1996 and 1997 in English and held by 16 WorldCat member libraries worldwide
9 editions published between 1996 and 1997 in English and held by 16 WorldCat member libraries worldwide
Women of mathematics troughout Europe : a gallery of portraits(
Book
)
3 editions published in 2016 in English and held by 13 WorldCat member libraries worldwide
3 editions published in 2016 in English and held by 13 WorldCat member libraries worldwide
Motives, quantum field theory, and pseudodifferential operators : Conference on Motives, Quantum Field Theory, and Pseudodifferential
Operators, June 213, 2008, Boston University, Boston, Massachusetts by Quantum Field Theory, and Pseudodifferential Operators Conference on Motives(
Book
)
1 edition published in 2010 in English and held by 10 WorldCat member libraries worldwide
This volume contains articles related to the conference "Motives, Quantum Field Theory, and Pseudodifferential Operators" held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph. Ds in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.Back cover
1 edition published in 2010 in English and held by 10 WorldCat member libraries worldwide
This volume contains articles related to the conference "Motives, Quantum Field Theory, and Pseudodifferential Operators" held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph. Ds in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.Back cover
Geometric and Topological Methods for Quantum Field Theory by
Hernan Ocampo(
)
3 editions published in 2005 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 2005 in English and held by 10 WorldCat member libraries worldwide
European women in mathematics : workshop on moduli spaces in mathematics and physics [held] Oxford, 2 and 3 July 1998(
Book
)
3 editions published between 2000 and 2001 in English and held by 8 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in English and held by 8 WorldCat member libraries worldwide
The fermionic oscillator as continuum limit of the twodimensional ising model at the critical temperature by
Sergio Albeverio(
Book
)
2 editions published in 2000 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 7 WorldCat member libraries worldwide
Renormalized traces as a looking glass into infinite dimensional geometry by
Sylvie Paycha(
Book
)
3 editions published in 2000 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 2000 in English and held by 6 WorldCat member libraries worldwide
UNE INTERPRETATION MATHEMATIQUE DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE by
Sylvie Paycha(
Book
)
2 editions published in 1990 in French and held by 4 WorldCat member libraries worldwide
CETTE THESE TENTE DE DECRIRE DANS UN CADRE MATHEMATIQUE DIVERS ASPECTS DE LA REDUCTION DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE AU MODELE DE LIOUVILLE. LA PREMIERE PARTIE DE CE TRAVAIL PRESENTE UNE VERSION REGULARISEE DU MODELE DE POLYAKOV EN UTILISANT LES PROCESSUS STOCHASTIQUES SUR DES VARIETES DE DIMENSION INFINIE. LA DEUXIEME PARTIE TRAITE DE LA REDUCTION AU MODELE DE LIOUVILLE. LES DETERMINANTS JACOBIENS INTERVENANT DANS CETTE REDUCTION SONT ETUDIES DANS LE CONTEXTE DES DETERMINANTS D'OPERATEURS ELLIPTIQUES SUR DES SURFACES COMPACTES ET LEURS REGULARISATIONS. LA MESURE DE LIOUVILLE EST DECRITE EN TERMES DE MESURES GAUSSIENNES AVEC INTERACTION EXPONENTIELLE BIEN DEFINIE
2 editions published in 1990 in French and held by 4 WorldCat member libraries worldwide
CETTE THESE TENTE DE DECRIRE DANS UN CADRE MATHEMATIQUE DIVERS ASPECTS DE LA REDUCTION DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE AU MODELE DE LIOUVILLE. LA PREMIERE PARTIE DE CE TRAVAIL PRESENTE UNE VERSION REGULARISEE DU MODELE DE POLYAKOV EN UTILISANT LES PROCESSUS STOCHASTIQUES SUR DES VARIETES DE DIMENSION INFINIE. LA DEUXIEME PARTIE TRAITE DE LA REDUCTION AU MODELE DE LIOUVILLE. LES DETERMINANTS JACOBIENS INTERVENANT DANS CETTE REDUCTION SONT ETUDIES DANS LE CONTEXTE DES DETERMINANTS D'OPERATEURS ELLIPTIQUES SUR DES SURFACES COMPACTES ET LEURS REGULARISATIONS. LA MESURE DE LIOUVILLE EST DECRITE EN TERMES DE MESURES GAUSSIENNES AVEC INTERACTION EXPONENTIELLE BIEN DEFINIE
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Related Identities
 Ocampo, Hernan Author Editor
 Reyes, Andres Editor
 Hobbs, Catherine Editor
 European Women in Mathematics General Meeting 2007 : University of Cambridge)
 Cardona, Alexander Author Editor
 European Women in Mathematics Meeting 2001 : Malta)
 Mezzetti, Emilia Editor
 Vargas, A. (Andrés) Editor
 Uribe, B. (Bernardo) 1975 Other Editor
 Pariguan, Eddy Editor
Useful Links
Associated Subjects
Algebraic topology Cell aggregationMathematics Convergence Differentiable dynamical systems Dynamics Europe Field theory (Physics) Functions, Zeta Geometric quantization Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Integrals Invariants Lfunctions Mathematical physics Mathematics Motives (Mathematics) Noncommutative differential geometry Physics Pseudodifferential operators Quantum field theory Quantum field theoryMathematics Quantum theory Quantum theoryMathematics Renormalization (Physics) Renormalization group SeibergWitten invariants Statistical mechanics String models String modelsMathematics Teichmüller spaces Topology Vector bundles Women in mathematics Women in science Women mathematicians YangMills theory
Covers
Alternative Names
Paycha, S.
Paycha, S. 1960
Paycha, S. (Sylvie)
Sylvie Paycha Frans wiskundige
Sylvie Paycha fransk matematikar
Sylvie Paycha fransk matematiker
Sylvie Paycha französische Mathematikerin und mathematische Physikerin
Sylvie Paycha French mathematician
Sylvie Paycha matemática francesa
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