Weitere Informationen zum ausgewählten Kolloquiumsvortrag:

Scale-invariant tangent-point energies for knots and their relation to harmonic maps

Prof. Dr. Armin Schikorra

Donnerstag, 2020-10-22 15:30Uhr

A substantial part of my research is dedicated to the analysis of nonlocal/fractional differential equations appearing in Geometric Analysis, in particular in the Calculus of Variations in combination with geometric or topological constraints. As one example, I will report about progress in the theory of minimizing and critical knots for a class of scale-invariant knot energies, the so-called O'Hara and tangent-point energies. I explain the relation to the theory of harmonic maps that we discovered and our attempts to exploit it for existence and regularity results. This talk is based on joint works with S. Blatt, Ph. Reiter, and N. Vorderobermeier.