Summary: 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 nonautonomous)
and applications to dynamical systems, in one and several complex
variables. In several variables we plan to use pluripotential
theory in order to develop the general theory of evolution equations,
together with applications to local holomorphic dynamics. 
Keywords:

Geometric function theory

iteration theory

semigroups of holomorphic
maps

Loewner theory

local holomorphic dynamics

