Quantitative Stability in Geometric and Functional Inequalities - Part III

This lecture is the third installment in the Marston Morse Lectures series on "Quantitative Stability in Geometric and Functional Inequalities" presented by Alessio Figalli from the Institute for Advanced Study. Explore fundamental mathematical concepts across calculus of variations, partial differential equations, and geometry through classic examples such as the isoperimetric inequality, Sobolev inequalities, and the Brunn-Minkowski inequality. Discover the fascinating question of stability in these inequalities: when a function or set nearly achieves equality, how close is it to the actual minimizer? Learn about this beautiful mathematical topic and recent advancements in the field. The lecture takes place on March 7, 2025, at 3:00pm in Simonyi 101 with remote access available.