Featured Speaker: Duncan Dauvergne (Princeton)

Title: The directed landscape.

Abstract: The directed landscape is a random `directed metric' on the spacetime plane that arises as the scaling limit of integrable models of last passage percolation. It is expected to be the universal scaling limit for all models in the KPZ universality class for random growth. In this talk, I will describe its construction in terms of the Airy line ensemble, give an extension of this construction for optimal length disjoint paths, and discuss probabilistic consequences of these constructions. Based on joint work with J. Ortmann, B. Virag, and L. Zhang.