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This lecture is the second part of the Marston Morse Lectures series focusing on quantitative stability in geometric and functional inequalities, delivered 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 like the isoperimetric inequality, Sobolev inequalities, and the Brunn-Minkowski inequality. Learn about the stability of these inequalities by examining what happens when a function or set nearly achieves equality and how close it comes to the actual minimizer. The lecture will introduce this elegant topic and cover recent advancements in the field. Scheduled for March 5, 2025, at 3:00pm in Simonyi 101, with remote access available.
