ERC Starting Grant · 2018
Optimal transport techniques in the geometric analysis of spaces with curvature bounds
The unifying goal of the CURVATURE project is to develop new strategies and tools in order to attack fundamental questions in the theory of smooth and non-smooth spaces satisfying (mainly Ricci or sectional) curvature restrictions/bounds. The program involves analysis and geometry, with strong connections to probability and mathematical physics. The problems will be attacked by an innovative merging of geometric analysis and optimal transport techniques that already enabled the PI to solve important open questions in the field. The project is composed of three inter-connected themes: Theme I investigates the structure of non smooth spaces with Ricci curvature bounded below and their link…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.