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Content archived on 2024-06-16

Non-Commutative Geometry, Gauge Theories and Higher Yang-Mills Theories with Nonabelian 2-Form Gauge Potential

Objective

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.

Fields of science (EuroSciVoc)

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Keywords

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Topic(s)

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Call for proposal

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FP6-2002-MOBILITY-11
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Funding Scheme

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ERG - Marie Curie actions-European Re-integration Grants

Coordinator

UNIVERSITA DEGLI STUDI DEL PIEMONTE ORIENTALE 'AMEDEO AVOGADRO'
EU contribution
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Address
Piazza Risorgmento 12
VERCELLI
Italy

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Total cost

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