Applied and Computational Math Seminar: Self-repulsive curvature energies for curves and surfaces: regularity theory and relation to harmonic maps

Speaker: Armin Schikorra, University of Pittsburgh
Title: Self-repulsive curvature energies for curves and surfaces: regularity theory and relation to harmonic maps

Abstract: I will talk about a class of curvature energies for curves, the O'Hara energies, that are nonlocal in nature. In particular, I will present an approach for regularity theory of minimizers and critical points for these curves which is based on a relation to (fractional) harmonic maps. Then I will present some results towards attempts of generalizing this idea to surfaces. 

Time: Friday, October 4, 2019, 1:30-2:30pm

Place: Exploratory Hall, Room 4106