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Explore a cutting-edge mathematical approach to functional transcendence problems through this 77-minute lecture from the Institute for Advanced Study's Workshop on Special Cycles and Related Topics. Learn how model theory and differential Galois theory can be combined to tackle Ax-Schanuel type problems, as presented by James Freitag from the University of Illinois Chicago. Discover the innovative differential methods being developed to address these complex mathematical challenges, drawing from collaborative research with Blazquez-Sanz, Casale, and Nagloo. Gain insights into how this interdisciplinary approach bridges abstract model theory with the concrete applications of differential Galois theory in solving transcendence questions. The lecture was delivered at the Simonyi Lecture Hall as part of a specialized mathematical workshop focusing on special cycles and related mathematical phenomena.
