Frontiers in number theory, physics and geometry. II, On conformal field theories, discrete groups and renormalization

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...

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Autor corporatiu: Centre de physique. Congrès (Autor)
Altres autors: Cartier, Pierre, 1932-2024, mathématicien (Director editorial), Julia, Bernard, 1952- (Director editorial), Moussa, Pierre, 1942- (Director editorial)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg 2007.
Cham : Springer Nature
Matèries:
Accés en línia:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Frontiers in Number Theory, Physics, and Geometry II, Texte imprimé, 9783540303077
• Frontiers in Number Theory, Physics, and Geometry II, Texte imprimé, 9783540817963
• Frontiers in Number Theory, Physics, and Geometry II, Texte imprimé, 9783642067761
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245 0 0 |a Frontiers in number theory, physics and geometry.  |n II,  |p On conformal field theories, discrete groups and renormalization   |c Pierre Cartier, Bernard Julia, Pierre Moussa,... [et al.], editors. 
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260 |a Cham :  |b Springer Nature,  |c 2007. 
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505 0 |a Conformal Field Theories for Strings and Branes -- The Dilogarithm Function -- Conformal Field Theory and Torsion Elements of the Bloch Group -- Tracks, Lie's, and Exceptional Magic -- Gauge Theories from D Branes -- On Superconformal Field Theories Associated to Very Attractive Quartics -- Discrete Groups and Automorphic Forms -- An Introduction to Arithmetic Groups -- Automorphic Forms: A Physicist's Survey -- Strings and Arithmetic -- Modular Curves, C*-algebras, and Chaotic Cosmology -- Replicable Functions: An Introduction -- Lectures on the Langlands Program and Conformal Field Theory -- Hopf Algebras and Renormalization -- A Primer of Hopf Algebras -- Renormalization, the Riemann Hilbert Correspondence, and Motivic Galois Theory -- Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities -- Algebraic Algorithms in Perturbative Calculations -- Multiple Logarithms, Algebraic Cycles and Trees. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
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520 |a 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 
650 |a Nombres, Théorie des 
650 |a Renormalisation (physique) 
650 |a Groupes discrets 
650 |a Champs, Théorie quantique des 
650 |a Actes de congrès 
700 1 |a Cartier, Pierre,  |d 1932-2024,  |c mathématicien.  |4 pbd 
700 1 |a Cartier, Pierre,  |d 1932-2024,  |c mathématicien.  |4 pbd 
700 1 |a Julia, Bernard,  |d 1952-  |4 pbd 
700 1 |a Moussa, Pierre,  |d 1942-  |4 pbd 
711 2 |a Centre de physique.  |b Congrès  |d (2003.  |4 aut 
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776 0 |t Frontiers in Number Theory, Physics, and Geometry II  |b Texte imprimé  |z 9783540817963 
776 0 |t Frontiers in Number Theory, Physics, and Geometry II  |b Texte imprimé  |z 9783642067761 
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