SLE/GFF coupling, zipping up, and quantum length/area

Date: 2022-08-08

Time: 09:30 - 10:30


Greg Lawler


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.