CORDIS Project
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This project explores new research directions in metric measure spaces and Ricci curvature. It aims to merge static and dynamic studies to enhance understanding of geometric properties and develop new mathematical tools.
The project is devoted to innovative directions of research on metric measure spaces (‚mm-spaces’) and synthetic bounds for the Ricci curvature.
It aims to bring together two - currently unrelated - areas of mathematics which both have seen an impressive development in the last decade: i) the study of ,static‘ mm-spaces with synthetic Ricci bounds and ii) the study of Ricci flows for ,smooth‘ Riemannian manifolds. A new ansatz - based on the concept of dynamical convexity - will enable to merge…
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