Conformal Mapping and Probability

What it is about

The module covers conformal mappings and their connection with stochastic processes in the plane. You will learn how conformal methods can solve probabilistic problems, and gain insight into two-dimensional critical systems and their scaling limits (e.g., percolation, loop-erased random walks, Ising model) as well as SLE and loop ensembles.

What you will be able to do

• Apply conformal mappings to solve specific problems in probability theory
• Understand essential parts of the theory of two-dimensional scaling limits
• Assess the relationship between conformal mappings and stochastic processes

What the module consists of

• LectureConveying the theoretical foundations and proof techniques

Teaching method

• Frontal lecture on the blackboardfor the systematic presentation of theory and proofs