""This book is the seventh in a series of lectures of the Ś eminaire Poincaŕ e,which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed "Bourbaphi", the Poincaŕ e Seminar is held twice a year at the Institut Henri Poincaŕ e in Paris, with cont- butions prepared in advance. Particular care is devoted to the pedagogical nature of the presentations so as to ful?ll the goal of being readable by a large audience of scientists. This volume contains the tenth such seminar, held on April 30, 2007. It is devoted to the application of non-commutative geometry and quantum groups to physics. The book starts with a pedagogical introduction to Moyal geometry by V- cent Pasquier, with special emphasis on the quantum Hall e?ect. It is followed by a detailed review of Vincent Rivasseau on non-commutative ?eld theory and the recent advances which lead to its renormalizability and asymptotic safety. The description of the quantum Hall e?ect as a non-commutative ?uid is then treated in detail by Alexios Polychronakos. Integrable spin chains can be studied through quantum groups; their striking agreement with neutron scattering experiments is reviewed by Jean-MichelMaillet." -- Font no determinada."
Poincaré Seminar (10th : 2007 : Institut Henri Poincaré)
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Séminaire Poincaré (10e : 2007 : Institut Henri Poincaré)
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Nichtkommutative Geometrie Theoretische Physik Quantengruppe Kongress Paris <2007>
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Quantengruppe Nichtkommutative Geometrie Theoretische Physik Kongress Paris <2007>
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Theoretische Physik Nichtkommutative Geometrie Quantengruppe Kongress Paris <2007>
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