Title
On singularity lines of complex projective structures with real holonomy
Abstract
I will present some background and examples on complex projective structures with real holonomy. We will be especially interested in their singularity lines, which are curves that also appear e.g. in semiclassical limits of different variants of the Schramm-Loewner evolution. A central question is whether every isotopy class of a curve system can be realized as the singularity lines of some projective structure, and whether such structure is unique. With Bonk, Rohde and Wang we answered these questions affirmatively in the special case when the projective structure is induced by a differentiable Jordan curve passing through finitely many given points on the Riemann sphere.
