Talk by Talk by Pierre-François Rodriguez (UCLA)
Title: On level set percolation for the Gaussian free field
We investigate the geometry of the the Gaussian free field on the Euclidean lattice, in dimension greater or equal to three, by studying the percolation model that arises when considering its level sets. The correlations present in this model present a serious obstacle for the analysis of its phase transition. We will discuss recent developments regarding this problem.