Steiner tree problem revisited through rectifiable G-currents

  • Andrea Marchese (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)


Steiner tree problem consists in finding a connected set of minimal 1-dimensional measure containing a (prescribed) finite set of points in R^n. I will show how to understand this as a mass minimization problem in a family of currents with coefficients in a suitable group. This allows to introduce calibrations in this problem and therefore to prove the absolute minimality of some concrete configurations. No previous knowledge by the audience in geometric measure theory will be assumed.

This is joint work with Annalisa Massaccesi.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • Mar 27, 2024 tba with Christian Wagner
  • May 21, 2024 tba with Immanuel Zachhuber