CORDIS Project
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This project explores the geometric and probabilistic properties of high-dimensional spaces, particularly focusing on Riemannian manifolds with non-negative curvature. It aims to enhance understanding of measure concentration and isoperimetric inequalities, which have implications in various mathematical and applied fi…
The proposed project lies at the intersection of the local theory of Banach spaces (more precisely "Asymptotic Geometric Analysis"), Global Riemannian Geometry, and the study of isoperimetric and concentration properties of such spaces.
We will study Riemannian manifolds endowed with a probability measure, whose (generalized Ricci) curvature is non-negative ("convex"), or more generally, bounded below ("semi-convex"); an important example is that of the uniform measure on a convex bounded domain…
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