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Slideshow

Geometry seminar: Armin Schikorra, University of Pittsburgh

Armin Schikorra
Date and time:
Boyd Room 304

 

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, where in particular a choice of parametrization comes into play.

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