Gluing constructions of minimal surfaces: Recent progress and future plans

Abstract: I will review our recent constructions of minimal surfaces by gluing catenoids, helicoids, and saddle towers. In particular, we recently resolved some technical issues in previous similar constructions and revealed surprising connections between minimal surfaces and fluid dynamics. Moreover, I will discuss possibilities of further improving the gluing techniques. The talk covers joint works with Martin Traizet and Daniel Freese.

mathematical physicscomplex variablesdifferential geometryfluid dynamics

Audience: researchers in the discipline

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php