Analysis Seminar

Title: The Riemannian Quantitative Isoperimetric Inequality
Speaker: Max Engelstein
Speaker Info: University of Minnesota
Brief Description:
Special Note:

The (Euclidean) isoperimetric inequality says that any set has larger perimeter than a ball with the same area. The quantitative isoperimetric inequality says that the difference in perimeters is bounded from below by the square of the distance from our set E to the ``closest" ball of the same area.

In this talk, we will discuss an extension of this result to closed Riemannian manifolds with analytic metrics. In particular, we show that a similar inequality holds but with the distance raised to a power that depends on the geometry. We also have examples which show that a greater power than two is sometimes necessary and that the analyticity condition is necessary.

This is joint work with O. Chodosh (Stanford) and L. Spolaor (UCSD).

Date: Monday, November 11, 2019
Time: 4:10pm
Where: Lunt 105
Contact Person: Robin Neumayer
Contact email: neumayer@math.northwestern.edu
Contact Phone: 847-491-5580
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