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This Marston Morse lecture explores the concept of quantitative stability in geometric and functional inequalities, a fundamental topic across mathematics including calculus of variations, partial differential equations, and geometry. Discover how classic examples like the isoperimetric inequality, Sobolev inequalities, and the Brunn-Minkowski inequality behave when approaching equality conditions. Learn about the key question in stability theory: when a function or set nearly achieves equality in these inequalities, how close is it to the actual minimizer? Join Professor Alessio Figalli from the Institute for Advanced Study as he introduces this elegant mathematical topic and discusses recent advancements in the field. The lecture will take place on March 3, 2025, at 3:00pm in Simonyi 101, with remote access options available.
