Ellen Powell: Level lines of the Gaussian free field with general boundary data

I will discuss the level lines of a GFF in a planar domain, with general boundary data F. In particular I will give a criteria for these level lines to exist, and will discuss some properties of the resulting curves. One interesting consequence of the definition of these level lines is the ability to define and study a new family of SLE curves, which are the natural generalisation of \(SLE_4(\rho)\) processes with a continuum of force points.

This is joint work with Hao Wu from the University of Geneva.