Functional Inequalities and Improvements: Stability - Part 1

Explore a comprehensive lecture on functional inequalities and their stability presented by María J. Esteban from the Centre National de la Recherche Scientifique in Paris. Delve into the importance of functional inequalities in various mathematical fields, including analysis, spectral analysis, mathematical physics, partial differential equations, and differential geometry. Discover the significance of determining optimal constants and extremal functions in these inequalities. Learn about recent developments in the field, focusing on strategies for addressing key issues in a wide range of inequalities. Examine the concept of "stability" and improved inequalities for non-optimizers. Gain insights into various methods and results through carefully selected examples that highlight interesting features and practical applications of functional inequalities.