Calibrations for minimal networks in a covering space setting
Date
Thursday, January 18, 2018 16:00 - 18:00
Speaker
Marcello Carioni (University of Graz)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Julian Fischer
Contact
Url
In this talk I will present an improvement of the approach to the Steiner problem proposed by Amato, Bellettini and Paolini, which is based on the minimization of the perimeter of subsets of a suitably chosen covering space. In this setting I will define a proper notion of calibration giving some examples. Finally I will focus on a calibration argument that allows to prove the minimality of the Steiner configurations for the vertexes of a regular hexagon. This is a jointwork with Alessandra Pluda.