Finanzierung: Deutsche Forschungsgemeinschaft (DFG)
Laufzeit: 2 Jahre (2007-2009)
Zusammenfassung: This project is located around the investigation of Riemannian metrics of positive scalar curvature on smooth manifolds. Existence, obstructions and the space of positive scalar curvature metrics are particular questions in this context. Special attention will be paid to the interaction of methods from differential geometry, global analysis, algebraic topology and coarse geometry. The positive scalar curvature question will also be regarded as a motivation to formulate and investigate problems that are of interest in these specific areas independently from the positive scalar curvature question.