What Makes a Surface "Optimal" - Rothschild Lecture

Explore the concept of optimal surfaces in mathematics through this Rothschild Lecture delivered by Professor Luis Caffarelli from The University of Texas at Austin. Delve into the properties of area minimizing surfaces, solid-liquid interfaces, and strategic decision boundaries in game theory, examining their inherent optimality and its manifestations in stability, regularity, and propagation. Gain insights into the significant advancements made in understanding these mechanisms since de Giorgi's groundbreaking work on minimal surfaces. Discover how these developments have shaped our comprehension of what makes a surface truly optimal in various mathematical and physical contexts.