PREFACE: International Conference on Noncommutative Geometry and Physics
Abstract
The `International Conference on Noncommutative Geometry and Physics' was held on 23-27 April 2007 at the Laboratoire de Physique Théorique d'Orsay located at the Université Paris-Sud 11 campus. It brought together about 70 scientists, either mathematicians or physicists, actively working on the most recent aspects of noncommutative geometry, with a particular emphasis on some promising applications of noncommutative geometry in physics. The present volume involves most of the invited talks given by leading experts in the related areas of mathematics or physics and may therefore provide a view of the state of the art in this rapidly evolving domain. The talks covering the mathematical aspects either focused on recent new results or on reviews of some useful tools of noncommutative geometry, such as for instance deformation quantizations or derivation-based differential calculus. Other talks were centered on noncommutative field theories (NCFT). NCFT is now one of the main organized attempts to go beyond the present formulation of fundamental physics, aiming in particular at the elaboration of mathematical tools that may be used in the construction of a consistent theory of quantum gravity at the Planck scale. Two other such organized attempts are string theory and loop gravity. NCFT is now witnessing exciting developments, either on various classical aspects or in the recent construction of new renormalizable field theories, in particular those defined on the so-called noncommutative Moyal-Weyl space that seems to be related to some regime of string theory. The corresponding talks covered new developments related e.g. to solvable models, instantons or solitons, applications of spectral triples including a reformulation of the standard model, new results on renormalization group flow properties of interesting NCFT on Moyal spaces together with progress on renormalization of gauge theories on these spaces. The talks were completed by a poster session aiming at triggering further exchange between participants.
It is a pleasure to thank M Dubois-Violette, H Grosse, O Lechtenfeld, J Magnen and V Rivasseau for their perfect organization creating a stimulating atmosphere and to gratefully acknowledge financial support from Agence Nationale pour la Recherche under grant ANR NT05-3-43374 `GENOPHY', Ecole Polytechnique, Laboratoire de Physique Théeorique d'Orsay and CNRS. Jean-Christophe Wallet- Publication:
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Journal of Physics Conference Series
- Pub Date:
- March 2008
- DOI:
- 10.1088/1742-6596/103/1/011001
- Bibcode:
- 2008JPhCS.103a1001W