### *cancelled* Some smooth applications of non-smooth Ricci curvature lower bounds

Analysis and Geometry Seminar

11th December 2017, 4:00 pm – 5:00 pm

Howard House, 4th Floor Seminar Room

*Postponed* Unfortunately due to weather affecting travel, this seminar is postponed until the new year.

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.

Note: Unusual day and location

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