# Topics in Geometric Analysis

#### 14.01.2020, 16:15-18:45  –  FU Berlin, Arnimalle 6, SR 031 Seminar "Topics in Geometric Analysis"

Heiko von der Mosel, Lynn Heller

 16:15 Heiko von der Mosel (RWTH Aachen) On integral Menger curvature Using concepts from elementary geometry like the circumcircle radius one can construct various families of geometric curvature energies quite useful in harmonic analysis and geometric knot theory. After surveying these results I will report on recent progress on a gradient flow for integral Menger curvature. 17:45 Lynn Heller (Universität Hannover) Area Estimates for High genus Lawson surfaces via DPW Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces $$\xi_{m,k}$$ of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed $$m$$ estimates on the area of $$\xi_{m,k}$$ in terms of their genus $$g= mk >>1$$.
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