September 21, 2021

Sharp Quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Fredman Monotonicity Formula

The Colloquium will be focused on this research work by Mark Allen of Brigham Young University in the USA. He establishes the new sharp quantitative estimates for Faber-Krahn inequalities on Euclidean space, the round sphere and hyperbolic space and then applies these inequalities in order to establish a quantitative form of the Alt-Caffarelli-Friedman monotonicity formula. This is joint work with Dennis Kriventsov and Robin Neumayer.

This will be the first Talk in AIMS-Cameroon Research Center Colloquium series during Fall 2021 (September 21 – November 30, 2021)