HEVO · Holomorphic Evolution Equations

The scope of this project is to study holomorphic evolution equations and the associated dynamical systems, both from the local and the global point of view. In particular we aim to study general Loewner equations (both autonomous and non-autonomous) and applications to dynamical systems, in one and several complex variables. In one variable we plan to develop a general version of SLE's for non-slit evolutions and apply to physical and others problems. In several variables we plan to develop the general theory, together with applications.