Calculus of Variations and Geometric Measure Theory

Harmonic maps to the circle with higher dimensional singular set.

Marco Badran

created by malchiodi on 15 Feb 2025
modified on 05 Mar 2025

5 mar 2025 -- 15:00   [open in google calendar]

Centro de Giorgi, Sala Conferenze

NOTE THE CHANGE OF LECTURE ROOM

Abstract.

We consider the problem of finding harmonic maps to the circle with a prescribed singular set in an arbitrary Riemannian manifold and characterise their uniqueness in terms of the "one-dimensional topology" of the ambient space. We then show how these maps can be used to define new notions of (n-2)-volume, leading to a promising approximation scheme for classical codimension 2 minimal surfaces.