“Acceptance Speech” Frontiers of Knowledge Award 2022 in Basic Sciences

Acceptance speech by Jean-François Le Gall, winner of the 2022 Frontiers of Knowledge Award in Basic Sciences, who was honored alongside Charles Fefferman for their fundamental contributions to probability theory and mathematical analysis, respectively. Le Gall’s research on Brownian motion and random geometry has opened new perspectives in the study of stochastic processes and their connections to fundamental problems in theoretical physics.

Le Gall explains his research on two-dimensional random geometry and its relationship to quantum gravity, a theory that seeks to unify general relativity and quantum mechanics. Using the example of cities connected by randomly distributed roads, he illustrates how the Brownian sphere is constructed, a fundamental mathematical object in this field. He also highlights the importance of international collaboration and recalls his connections with the Spanish mathematical community, particularly through the training of young researchers.