All events are in Central time unless specified.

Mark Allan, Brigham Young University

Isoperimetric and Faber-Krahn Inequalities

4:00 pm–4:50 pm
Avery Hall Room: 115
Additional Info: AVH
Animesh Biswas
In this talk we review the isoperimetric inequality and how it leads to the Faber-Krahn inequality. We will then discuss how to establish quantitative forms of these inequalities. This entails measuring how close a set is to a ball if the perimeter (or first eigenvalue of the Laplacian) is close to that of the ball. We will conclude by showing how quantitative inequalities can be useful.

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