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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Détails bibliographiques
Auteurs principaux : Cartier Pierre (Directeur de publication), Julia Bernard (Directeur de publication), Moussa Pierre (Directeur de publication)
Collectivité auteur : Centre de physique Les Houches, Haute-Savoie Congrès 2003 (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
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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
Description
Résumé : 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
ISBN : 978-3-540-30308-4
DOI : 10.1007/978-3-540-30308-4