Noncommutative geometry and quantisation of physical interactions (E 04)

• Subject Area: Mathematics
• Term: from 2007 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5482091

The aim is to intensify previous research on the intersection of noncommutative geometry with quantum models for physical interactions. This includes the endeavour to renormalise gauge theories on noncommutative geometries on one hand and the analysis of a noncommutative algebra of loops related to quantum gravity on the other hand. Spectral triples play an important rˆole in both directions and a central question is to construct a Dirac operator with the physically desired properties.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 478: Geometric structures in mathematics
• Applicant Institution: Universität Münster
• Project Head: Professor Dr. Raimar Wulkenhaar