Wasserstein geometry, Ricci curvature and geometric analysis (C01)

• Subject Area: Mathematics
• Term: since 2013
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 211504053

Project C01 is devoted to the study of singular spaces with synthetic lower Ricci bounds and related questions of geometric analysis. One of the goals is to develop a detailed analysis of the heat flow on singular space-time geometries. Another goal is to develop a regularity theory for metric measure spaces with distributional valued lower Ricci bounds. A third goal is to improve the understanding of dynamic discrete optimal transport by means of homogenization techniques.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1060: The Mathematics of Emergent Effects
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Matthias Erbar, from 1/2017 until 12/2020; Dr. Eva Kopfer, since 1/2021; Professor Dr. Jan Maas, until 9/2014; Professor Dr. Karl-Theodor Sturm