Speaker
Greg Lawler
Abstract
I will give a somewhat novel approach to known relationships between SLE and GFF and the exponential of the GFF (quantum length/area) and Minkowski content of paths. The Neumann GFF is defined as a stochastic integral with respect to a complex Brownian motion. This viewpoint helps illuminate the relationship between boundary length and the stationary object invariant under “zipping up”. The talk will be self-contained in that it is not assumed that one knows the constructions of these objects.