Seminar announcement of the probability seminar at the University of Pisa DATE AND TIME: Tuesday, september 26, 09:15h - 11:00h LOCATION: Aula Seminari, Dipartimento di Matematica, Universita' di Pisa SPEAKER: Nicolas Perkowski TITLE: A weak universality result for the parabolic Anderson model ABSTRACT: We consider a class of nonlinear population models on a two-dimensional lattice which are influenced by a small random potential, and we show that on large temporal and spatial scales the population density is well described by the continuous parabolic Anderson model, a linear but singular stochastic PDE. The proof is based on a discrete formulation of paracontrolled distributions on unbounded lattices which is of independent interest because it can be applied to prove the convergence of a wide range of lattice models. This is joint work with Jörg Martin. Everyone is invited to participate. For more information, please contact carina.geldhauser@dm.unipi.it