Mark Allan, Brigham Young University
Isoperimetric and Faber-Krahn Inequalities
4:00 pm –
4:50 pm
Avery Hall
Room: 115
1144 T St
Lincoln NE 68508
Lincoln NE 68508
Additional Info: AVH
Contact:
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.