DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491