Math Graduate Student Seminar

Schramm-Loewner evolution (SLE) is a family of random planar curves which are the scaling limits of a variety of two dimensional lattice models in statistical physics. Conformal Field Theory (CFT) is a conformally invariant quantum field theory which is also widely used to study the behavior of critical lattice models. There are deep connections between CFTs and SLEs. Many properties of SLE and Multiple SLEs system can be predicted and analyzed by corresponding CFTs. To reveal those connections, it is important to construct a rigorous CFT framework for SLE and Multiple SLEs System.

In this talk, I will discuss some recent progress.