Videos

Lorentz sphere congruences, circle patterns and maximal surfaces

Presenter
February 12, 2025
Abstract
We consider discrete congruences of touching spheres in Lorentz space and show how they correspond to circle patterns. Our correspondence is a sphere geometric interpretation of a Lorentz lift previously introduced by Chelkak. Moreover, we identify a special case of circle patterns that corresponds to S-isothermic surfaces in Lorentz space. Finally, we discuss a case that is even more special: the case of maximal surfaces in Lorentz space. This talk is based on joint work with Dellinger, Müller, Polly and Smeenk.