Martin Donati

We will study the Robin function (or conformal radius) of a bounded domain. The single point-vortex dynamic will be used as a way to visualize the Robin's function. The first objective will be to discuss the effect of the shape of the boundary on the critical points of the Robin's function. In simply connected domains, conformal maps will play a major role in our study. Then we will introduce a general method on how to study boundary behaviour, in particular when the domain is not simply connected.