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Some smooth applications of non-smooth Ricci curvature lower bounds

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Speaker: 
Andrea Mondino
Affiliation: 
University of Warwick
Date: 
Mon, 2017-09-18 09:30 - 10:30
Location: 
MPIM Lecture Hall

After a brief introduction to the synthetic notions of Ricci curvature lower bounds in terms of optimal transportation, due to Lott-Sturm-Villani, I will discuss some applications to smooth Riemannian manifolds. These include: rigidity and stability of Levy-Gromov inequality, an almost euclidean isoperimetric inequality motivated by the celebrated Perelman’s Pseudo-Locality Theorem for Ricci flow, and some geometric properties of quotients of smooth manifolds having Ricci curvature bounded below.

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