CRC 1442 - B03: Moduli spaces of metrics of positive curvature
Basic data for this project
Type of project: Subproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster: 01/07/2020 - 30/06/2024 | 1st Funding period
Description
In this project, the space of Riemannian metrics of positive scalar curvature on closed manifolds will be studied. Central research questions concern the nontriviality of secondary index invariants, rigidity theorems for the homotopy type of those spaces and the action of the diffeomorphism group, and the comparison of two iterated loop space structures. We will use techniques from differential geometry, higher index theory, metric geometry, differential topology and homotopy theory.
Keywords: Differential Geometry; Analysis; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/CRC-Geometry/research/projects/b03.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/444018002
Funding identifier: SFB 1442/1, B03 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Ebert, Johannes |
Applicants from the University of Münster
| Ebert, Johannes |
Projects of the following funding period
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period Funded by: DFG - Collaborative Research Centre Type of project: Subproject in DFG-joint project hosted at University of Münster |
Related main project
Duration: 01/07/2020 - 30/06/2024 | 1st Funding period Funded by: DFG - Collaborative Research Centre Type of project: Main DFG-project hosted at University of Münster |