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ERC Workshop on Optimal Transportation and Applications

Nearly Round Spheres Look Convex

speaker: Ludovic Rifford (University of Nice)

abstract: We prove that a Riemannian manifold (M, g), close enough to the round sphere in the C⁴ topology, has uniformly convex injectivity domains. The proof is based on the Ma–Trudinger–Wang nonlocal curvature tensor, which originates from the regularity theory of optimal transport. This is a joint work with Alessio Figalli and Cédric Villani.

timetable:
Thu 14 Oct, 9:30 - 10:20, Aula Dini
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