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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: Mathematics and CS Seminar
Host: Julian Fischer
Lab building west seminar room

Abstract:

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.
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