Analysis and Mathematical Physics

Date:
Oct
05
2022

Analysis & Mathematical Physics

Lipschitz rigidity for scalar curvature
4:30pm|Simonyi 101 and Remote Access

Lower scalar curvature bounds on spin Riemannian manifolds exhibit remarkable rigidity properties determined by spectral properties of Dirac operators. For instance, a fundamental result of Llarull states that there is no smooth Riemannian metric on...

Oct
12
2022

Analysis & Mathematical Physics

Density lower bounds for topologically non-trivial minimal cones
4:30pm|Simonyi 101 and Remote Access

I will discuss how to use mean curvature flow to give nearly optimal lower bounds on the density of topologically non-trivial minimal hypercones in low dimensions. This compliments work of Ilmanen-White who gave analogous bounds for topologically...

Nov
02
2022

Analysis & Mathematical Physics

Geometric Measure Theory on non smooth spaces with lower Ricci curvature bounds
Daniele Semola
4:30pm|Simonyi 101 and Remote Access

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 first goal...