Geometric Analysis and Topology Seminar

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Geometric Measure Theory on non smooth spaces with lower Ricci bounds

Speaker: Daniel Semola, Fields Institute

Location: Warren Weaver Hall 512

Date: Friday, December 9, 2022, 11 a.m.

Synopsis:

There is a celebrated connection between minimal (or constant mean curvature) hypersurfaces and Ricci curvature in Riemannian Geometry, often boiling down to the presence of a Ricci term in the second variation formula for the area. The goal of the talk will be to discuss the validity of an analogous principle for non smooth metric measure spaces with Ricci bounded from below and its possible applications to classical questions in Geometric Analysis.