Abstract:
The Schramm-Loewner evolution (SLE) is a family of random fractal curves that describe the scaling limit of interfaces in statistical physics models. Liouville quantum gravity (LQG) is a natural model for a random 2d Riemannian manifold with roots in the physics literature. I will give an introduction to these two objects and present some open problems.
Biography:
Nina Holden is a Junior Fellow at ETH Institute for Theoretical Studies in Zurich, where her mentor is Wendelin Werner. She completed her Ph.D. at MIT in 2018 under the supervision of Scott Sheffield. She has done research on topics such as Schramm-Loewner evolutions, Liouville quantum gravity, random planar maps, statistical mechanics, and the trace reconstruction problem.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai