Geometry of singular spaces (A02)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 281071066

A central topic of the project are geodesics and geodesic flows on metric spaces. We will show the existence of geodesic flows and the invariance of the Liouville measure in many metric spaces with one-sided curvature bounds. Further topics are metric properties of singular Kähler spaces and of the space of Kähler potentials on a Kähler manifold.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 191: Symplectic Structures in Geometry, Algebra and Dynamics
• Applicant Institution: Universität zu Köln
• Co-Applicant Institution: Universität Münster ; Fachbereich 10 - Mathematik und Informatik; Mathematisches Institut
• Project Heads: Professor Dr. Hansjörg Geiges, until 12/2020; Professor Dr. Alexander Lytchak; Professor Dr. George Teodor Marinescu; Professor Dr. Kai Zehmisch, until 12/2020