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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...
| Auteurs principaux : | , , |
|---|---|
| Collectivité auteur : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Frontiers in number theory, physics and geometry. II, On conformal field theories, discrete groups and renormalization / Pierre Cartier, Bernard Julia, Pierre Moussa,... [et al.], editors |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2007 Cham : Springer Nature |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Sujets : | |
| Documents associés : | Autre format:
Frontiers in Number Theory, Physics, and Geometry II Autre format: Frontiers in Number Theory, Physics, and Geometry II Autre format: Frontiers in Number Theory, Physics, and Geometry II |
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| 200 | 1 | |a Frontiers in number theory, physics and geometry |h II |i On conformal field theories, discrete groups and renormalization |f Pierre Cartier, Bernard Julia, Pierre Moussa,... [et al.], editors | |
| 214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
| 214 | 2 | |a Cham |c Springer Nature |d 2007 | |
| 330 | |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 | ||
| 359 | 1 | |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. | |
| 371 | 0 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | |
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| 452 | | | |t Frontiers in Number Theory, Physics, and Geometry II |b Texte imprimé |y 9783540303077 | |
| 452 | | | |t Frontiers in Number Theory, Physics, and Geometry II |b Texte imprimé |y 9783540817963 | |
| 452 | | | |t Frontiers in Number Theory, Physics, and Geometry II |b Texte imprimé |y 9783642067761 | |
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