Objectif This is a study of gravity as a gauge theory on noncommutative spaces. Seiberg-Witten map, deformation quantization, random matrix models are some of the noncommutative geometry methods used. Noncommutative geometry techniques are also applied to deform a belian gauge theories with 2-form gauge potential. Global aspects of these theories are described by bundle gerbes (these are a higher version of line bundles) . Noncommutative bundle gerbes are then applied to the noncommutative description of D-branes. Nonabelian bundle gerbes and their associated nonabelian gauge theories with 2-form gauge potential are also investigated (with recently developed differential geometry methods). Also this theory is then applied to study branes. Professional reintegration will be attained through: strict research collaboration, supervising activity (graduate students), teaching activity, co-organization of workshops, creation of new (international) research collaborations. There is a strategy for successful stable reintegra tion of the researcher in the host institution. The researcher returns to his region of origin. Champ scientifique natural sciencesphysical sciencesastronomyastrophysicsblack holesnatural sciencesmathematicspure mathematicsgeometry Mots‑clés Bundle Gerbes Gravity Nonabelian Gerbes Noncommutative Gauge Theory Noncommutative Geometry Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Thème(s) MOBILITY-4.1 - Marie Curie European Reintegration Grants (ERG) Appel à propositions FP6-2002-MOBILITY-11 Voir d’autres projets de cet appel Régime de financement ERG - Marie Curie actions-European Re-integration Grants Coordinateur UNIVERSITA DEGLI STUDI DEL PIEMONTE ORIENTALE 'AMEDEO AVOGADRO' Contribution de l’UE Aucune donnée Adresse Piazza Risorgmento 12 VERCELLI Italie Voir sur la carte Coût total Aucune donnée
