MaxPlanckInstitut für Mathematik
Overview
Works:  65 works in 137 publications in 2 languages and 2,089 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Editor, Organizer of meeting, isb 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works about
MaxPlanckInstitut für Mathematik
 MaxPlanckInstitut für Mathematik by MaxPlanckInstitut für Mathematik( Book )
Most widely held works by
MaxPlanckInstitut für Mathematik
Dynamical numbers : interplay between dynamical systems and number theory : a special program, May 1July 31, 2009 ; international
conference, July 2024, 2009, Max Planck Institute for Mathematics, Bonn, Germany(
Book
)
8 editions published in 2010 in English and held by 168 WorldCat member libraries worldwide
8 editions published in 2010 in English and held by 168 WorldCat member libraries worldwide
Conformal geometry(
Book
)
7 editions published in 1988 in English and German and held by 163 WorldCat member libraries worldwide
7 editions published in 1988 in English and German and held by 163 WorldCat member libraries worldwide
Noncommutative geometry and number theory : where arithmetic meets geometry and physics by
Caterina Consani(
Book
)
7 editions published in 2006 in English and held by 147 WorldCat member libraries worldwide
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and KTheory. This volume collects and presents uptodate research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive padic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect
7 editions published in 2006 in English and held by 147 WorldCat member libraries worldwide
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and KTheory. This volume collects and presents uptodate research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive padic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect
Combinatorics and physics : MiniWorkshop on Renormalization, December 1516, 2006 ; Conference on Combinatorics and Physics,
March 1923, 2007, Max Planck Institut für Mathematik, Bonn, Germany by
Bonn) Mini Workshop on Renormalization (2006(
Book
)
9 editions published in 2011 in English and Undetermined and held by 140 WorldCat member libraries worldwide
9 editions published in 2011 in English and Undetermined and held by 140 WorldCat member libraries worldwide
Deformation spaces : perspectives on algebrogeometric moduli by
Hossein Abbaspour(
Book
)
8 editions published in 2010 in English and German and held by 91 WorldCat member libraries worldwide
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few selfcontained and peerreviewed papers by experts which present uptodate research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the MaxPlanckInstitute for Mathematics and the Hausdorff Center for Mathematics in Bonn. Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau  Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics  Advanced graduate students in mathematics Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France. Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA. Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA
8 editions published in 2010 in English and German and held by 91 WorldCat member libraries worldwide
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few selfcontained and peerreviewed papers by experts which present uptodate research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the MaxPlanckInstitute for Mathematics and the Hausdorff Center for Mathematics in Bonn. Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau  Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics  Advanced graduate students in mathematics Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France. Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA. Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA
Geradenkonfigurationen und algebraische Flächen by
Gottfried Barthel(
Book
)
2 editions published in 1987 in German and held by 81 WorldCat member libraries worldwide
2 editions published in 1987 in German and held by 81 WorldCat member libraries worldwide
Dynamics and numbers : a special program, June 1July 31, 2014 : international conference, July 2125, 2014, Max Planck Institute
for Mathematics, Bonn, Germany by Dynamics and Numbers(
Book
)
4 editions published in 2016 in English and held by 80 WorldCat member libraries worldwide
4 editions published in 2016 in English and held by 80 WorldCat member libraries worldwide
Seminar on New Results in Nonlinear Partial Differential Equations : a publication of the MaxPlanckInstitut für Mathematik,
Bonn by
Anthony Tromba(
Book
)
6 editions published in 1987 in 3 languages and held by 33 WorldCat member libraries worldwide
Recent years have seen a tremendous growth of interest in nonlinear partial differential equations_ Yau's solution of the Calabi conjecture and more recently Schoen's solution of the Yamabe problem and Wente's counterexample of the Hopf conjecture have been a great stimulus to geometric P.D.E . Applied P.D.E. has also seen great progress. The "year" in P.D.E., JanuarySeptember 1984 at the MaxPlanckI nstitute was dedicated to bringing together some of the leaders in several fields of P.D.E . We preferred a seminar focused not on a given very specific area but one which cuts across boundaries of research interests. We hoped to have a snapshot of some of the more important recent devel opments in nonlinear P.D.E . The current volume contains some of the results reported upon in this seminar. From Henry Wente, in geometric P.D.E., we have new toroidal counterexamples to Hopf's conjecture, and, due to Uwe Abresch, a further development of these ideas. Sergiu Klainerman's global existence result for the nonlinear KleinGordon equation in four spacetime dimensions, achieved while at Max Planck, is included. Vince Moncrief presents his global existence result for the YangMills equation in Min kowski space time. All of these results answer important and outstanding questions
6 editions published in 1987 in 3 languages and held by 33 WorldCat member libraries worldwide
Recent years have seen a tremendous growth of interest in nonlinear partial differential equations_ Yau's solution of the Calabi conjecture and more recently Schoen's solution of the Yamabe problem and Wente's counterexample of the Hopf conjecture have been a great stimulus to geometric P.D.E . Applied P.D.E. has also seen great progress. The "year" in P.D.E., JanuarySeptember 1984 at the MaxPlanckI nstitute was dedicated to bringing together some of the leaders in several fields of P.D.E . We preferred a seminar focused not on a given very specific area but one which cuts across boundaries of research interests. We hoped to have a snapshot of some of the more important recent devel opments in nonlinear P.D.E . The current volume contains some of the results reported upon in this seminar. From Henry Wente, in geometric P.D.E., we have new toroidal counterexamples to Hopf's conjecture, and, due to Uwe Abresch, a further development of these ideas. Sergiu Klainerman's global existence result for the nonlinear KleinGordon equation in four spacetime dimensions, achieved while at Max Planck, is included. Vince Moncrief presents his global existence result for the YangMills equation in Min kowski space time. All of these results answer important and outstanding questions
Arbeitstagung / MaxPlanckInstitut für Mathematik, Bonn by
MaxPlanckInstitut für Mathematik(
)
2 editions published in 2009 in German and held by 33 WorldCat member libraries worldwide
2 editions published in 2009 in German and held by 33 WorldCat member libraries worldwide
Rational points : seminar Bonn/Wuppertal 1983/84 ; a publication of the MaxPlanckInstitut für Mathematik, Bonn(
Book
)
1 edition published in 1992 in English and held by 30 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 30 WorldCat member libraries worldwide
MaxPlanckInstitut für Mathematik by
MaxPlanckInstitut für Mathematik(
Book
)
2 editions published in 1987 in German and held by 27 WorldCat member libraries worldwide
2 editions published in 1987 in German and held by 27 WorldCat member libraries worldwide
Rational points : Seminar Bonn/Wuppertal 1983/84 by
Gerd Faltings(
Book
)
8 editions published between 1984 and 1992 in English and held by 25 WorldCat member libraries worldwide
8 editions published between 1984 and 1992 in English and held by 25 WorldCat member libraries worldwide
Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov by
M. M Kapranov(
Book
)
2 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
This book presents 18 articles by prominent mathematicians, dedicated to the memory of Alexander Reznikov (19602003), a brilliant highly original mathematician with broad mathematical interests. In addition it contains an influential, so far unpublished manuscript of Reznikov of book length. The research articles broadly reflect the range of Reznikov's own interests in geometry, group and number theory, functional analysis, dynamical systems and topology. In addition, there are surveys "Geometrization of probability", "Kleinian groups in higher dimensions", "(C, F)construction of funny rankone actions for locally compact groups", and some articles centering on Reznikov as a person
2 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
This book presents 18 articles by prominent mathematicians, dedicated to the memory of Alexander Reznikov (19602003), a brilliant highly original mathematician with broad mathematical interests. In addition it contains an influential, so far unpublished manuscript of Reznikov of book length. The research articles broadly reflect the range of Reznikov's own interests in geometry, group and number theory, functional analysis, dynamical systems and topology. In addition, there are surveys "Geometrization of probability", "Kleinian groups in higher dimensions", "(C, F)construction of funny rankone actions for locally compact groups", and some articles centering on Reznikov as a person
Preprints of the MaxPlanckInstitut für Mathematik Preprints of the Max Planck Institute for Mathematics by
MaxPlanckInstitut für Mathematik(
)
in English and held by 20 WorldCat member libraries worldwide
in English and held by 20 WorldCat member libraries worldwide
Gfunctions and geometry by
Yves André(
Book
)
1 edition published in 1989 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 19 WorldCat member libraries worldwide
Traces in number theory, geometry, and quantum fields(
Book
)
3 editions published in 2008 in English and held by 18 WorldCat member libraries worldwide
3 editions published in 2008 in English and held by 18 WorldCat member libraries worldwide
Manifolds and modular forms by
Friedrich Hirzebruch(
Book
)
3 editions published between 1992 and 1994 in English and held by 18 WorldCat member libraries worldwide
During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". I wanted to develop the theory of "Elliptic Genera" and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the Agenus. The Agenus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the Agenus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the Agenus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
3 editions published between 1992 and 1994 in English and held by 18 WorldCat member libraries worldwide
During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". I wanted to develop the theory of "Elliptic Genera" and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the Agenus. The Agenus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the Agenus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the Agenus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
Quantum groups and noncommutative spaces : perspectives on quantum geometry : a publication of the MaxPlanckInstitute for
Mathematics, Bonn by
Matilde Marcolli(
Book
)
3 editions published in 2011 in English and held by 16 WorldCat member libraries worldwide
This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differentialgeometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the MaxPlanckInstitute for Mathematics in Bonn. Contributions byTomasz Brzezinski, Branimir Cacic, Rita Fioresi, Rita Fioresi and Fabio Gavarini, Debashish Goswami, Christian Kassel, Avijit Mukherjee, Alfons Van Daele, Robert Wisbauer, Alessandro Zampini The volume is aimed as introducing techniques and results on Quantum Groups and Noncommutative Geometry, in a form that is accessible to other researchers in related areas as well as to advanced graduate students. The topics covered are of interest to both mathematicians and theoretical physicists. Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA. Dr. Deepak Parashar, Cambridge Cancer Trials Centre and MRC Biostatistics Unit, University of Cambridge, United Kingdom
3 editions published in 2011 in English and held by 16 WorldCat member libraries worldwide
This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differentialgeometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the MaxPlanckInstitute for Mathematics in Bonn. Contributions byTomasz Brzezinski, Branimir Cacic, Rita Fioresi, Rita Fioresi and Fabio Gavarini, Debashish Goswami, Christian Kassel, Avijit Mukherjee, Alfons Van Daele, Robert Wisbauer, Alessandro Zampini The volume is aimed as introducing techniques and results on Quantum Groups and Noncommutative Geometry, in a form that is accessible to other researchers in related areas as well as to advanced graduate students. The topics covered are of interest to both mathematicians and theoretical physicists. Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA. Dr. Deepak Parashar, Cambridge Cancer Trials Centre and MRC Biostatistics Unit, University of Cambridge, United Kingdom
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Related Identities
 Marcolli, Matilde Editor
 Consani, Caterina Editor
 Abbaspour, Hossein Editor
 Tradler, Thomas
 Koli︠a︡da, S. F. Editor
 EbrahimiFard, Kurusch 1973 Editor
 Suijlekom, Walter D. van 1978 Editor
 Kulkarni, Ravi S. Editor
 Pinkall, Ulrich Editor
 Hirzebruch, Friedrich Author Editor
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Associated Subjects
Algebraic stacks Algebraic topology Arithmetical algebraic geometry Conformal geometry Conformal mapping Determinants Differentiable dynamical systems Differential equations, Nonlinear Differential equations, Partial Diophantine approximation Dynamics Engineering Ergodic theory Forms, Modular Functional analysis Functional equations Functions, Zeta Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Group theory Hfunctions Homology theory Integral equations Manifolds (Mathematics) Mathematics MaxPlanckInstitut für Mathematik Moduli theory Noncommutative differential geometry Number theory Numerical integration Quantum field theory Quantum groups Rational points (Geometry) Renormalization group Surfaces, Algebraic Topological algebras Topological groups Topology Trace formulas
Alternative Names
Institut MaxPlanck de mathématiques
Instituto Max Planck de Matemática
Instituto Max Planck de Matemáticas
Istituto Max Planck di matematica
MaxPlanckGesellschaft zur Förderung der Wissenschaften. MaxPlanckInstitut für Mathematik.
MaxPlanckInstitut für Mathematik
MaxPlanckInstitut für Mathematik in den Naturwissenschaften
Max Planck Institute for Mathematics
Max Planck Institute for Mathematics Bonn
Max Planck Institute for Mathematics in the Sciences
Max Planck Institute for Mathematics Max Planck Instituut in Bonn, Duitsland
MPIM
MPIM (MaxPlanckInstitut für Mathematik : Bonn)
PlanckInstitut für Mathematik
PlanckInstitut für Mathematik, Bonn.
Planck Institute for Mathematics
Planck Institute for Mathematics Bonn
Математический институт Макса Планка
مؤسسه ریاضیات ماکس پلانک
マックス・プランク数学研究所
马克斯·普朗克数学研究所
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