List All Events
Ginzburg-Landau functionals for a general compact vacuum manifold on planar domains
Jean Van Schaftingen, UCLouvain, Louvain-la-Neuve, Belgium
Location: Room 705
Date & time: Tuesday, 28 January 2020 at 1:40PM - 3:00PM
Abstract: Ginzburg–Landau type functionals provide a relaxation scheme to construct harmonic maps in the presence of topological obstructions. They arise in superconductivity models, in liquid crystal models (Landau–de Gennes functional) and in the generation of cross-fields in meshing. For a general compact manifold target space we describe the asymptotic number, type and location of singularities that arise in minimizers. We cover in particular the case where the fundamental group of the vacuum manifold in nonabelian and hence the singularities cannot be characterized univocally as elements of the fundamental group. The results unify the existing theory and cover new situations and problems.