20–24 Jun 2022
Dipartimento di Matematica Università di Pisa
Europe/Rome timezone

Steiner Problem, global and local minimizers of the Length functional

20 Jun 2022, 10:20
50m
Aula magna (Dipartimento di Matematica Università di Pisa)

Aula magna

Dipartimento di Matematica Università di Pisa

Largo Bruno Pontecorvo, 5, 56127 Pisa PI

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.

Presentation materials