Harald Bohr Lecture: Jean Francois Le Gall

Speaker: Jean Francois Le Gall, Professor at l'Université Paris-Saclay. Wolf Prize Laureate in Mathematics 2019.

The geometry of Brownian surfaces

Abstract: Models of two-dimensional random geometry are obtained as universal scaling limits in the Gromov-Hausdorff sense of large graphs embedded in the sphere. These models, which include the Brownian sphere, the Brownian disk and the Brownian plane, are also closely related to the quantum surfaces studied by Miller and Sheffield. We will present recent progress in the study of these random metric spaces. In particular, we will discuss some remarkable properties of geodesics and mention some open problems.