This talk will consist of three parts:
First, I will explain how the Schwarz-Christoffel formula for holomorphic maps to Euclidean polygons can be used to elegantly construct minimal surfaces.
Secondly, I will show a variant of this formula that works for periodic Euclidean polygons and use it to construct examples of triply periodic minimal surfaces.
Finally, as an application, I will show a deformation of the H-surface of Schwarz into the P-surface. Time permitting, there will be a fourth part showing rather surprising deformations of some triply periodic genus 4 surfaces that are also based on the periodic Schwarz-Christoffel formula.
Conferencia dentro del complemento de formación del Doctorado interuniversitario Matemáticas