Special Talk: O’ Hara’s knot energies and W1/p,p – harmonic maps into spheres

June 14, 2018 Special Talk



spe - lecture

Special Talks

O’ Hara’s knot energies and W1/p,p – harmonic maps into spheres

by

Prof. Arimin Schikorra

Department of Mathematics, University of Pittsburgh, USA

Monday, June 18, 2018,  10:00 – 11:00 am

Room 1208/9 Mahavajirunnahit Building

Abstract

O’Hara’s knot energies are a class of knot energies that penalize self-intersection and, to some extent, reward untangledness. I will explain the basic construction of these energies, their main properties, and explain how minimizers (and more general critical knots) share some decisive features with harmonic maps into spheres, which can be used to show regularity properties for such knots. Joint work with S. Blatt, Ph. Reiter.

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