Speaker
Alessandra Pluda
(Università di Pisa)
Description
The Steiner problem, in its classical formulation, is to find the 1-dimensional connected set in the plane with minimal length that contains a finite collection of points.
Although existence and regularity of minimizers is well known, in general finding explicitly a solution is extremely challenging, even numerically.
A possible tool to validate the minimality of a certain candidate is the notion of calibrations.
In this talk I will introduce the different definitions of calibrations for the Steiner problem available in the literature,
I will give example of existence and non—existence of calibrations and I will show how one can easily get informations on both global and local minimizers.