Humboldt Universitaet, Berlin

Imagine drawing lines on a surface. Most of us are pretty lazy, so we most

likely manage only a small doodle. However, what if the drawing for the

rest of the surface can be filled in by invoking symmetries. If the

surface we are drawing on is arbitrary, what are all the ways we can

scribble such that this actually works? Is there a way to enumerate these

different ways? If the goal was to find molecular structures by drawing

them on surfaces, what surfaces would we start with and why?

The first and greater part of my talk will motivate and answer these

questions, while focusing on a new technique to explicitly enumerate and

construct all essentially different ways to decorate prominent examples of

triply periodic minimal surfaces.

The second part will focus on what we can say about the kinds of

structures that arise from this process and the kind of advantages this

new approach offers. This is a rather controversial topic, as most

chemists exclusively use crystallographic tables for the study of

symmetries in 3D structures.

There will be tie-ins to geometry, braid theory, combinatorial group and

tiling theory, physics, and even some chemistry.

**Room:**

Seminar Room 3.17