Entanglement of graphs and networks

13.01.2021, 14:00  –  Online Meeting
Institutskolloquium

Sonja Berthel (Vrije Universitet, Amsterdam) and Myfawny Evans (University of Potsdam)

If you wish to attend the talks,  please contact Sylvie Paycha paycha@math.uni-potsdam.de for the login details.

2pm-2:45pm Sonja Berthel (Vrije Universitet, Amsterdam): Entanglements in (molecular) graphs

3pm-3:45 pm Myfawny Evans (University of Potsdam): Tangled networks on surface scaffolds

Abstracts:

Sonja Berthel (Vrije Universitet, Amsterdam): Entanglements in (molecular) graphs

The first half of this talk will give an overview of entanglements in molecules and crystals, as well as their previous study in topological graph theory. The second part will introduce and compare different types of entanglements in embedded graphs. We will focus on minimal knotted graphs, which are graphs that do not contain a non trivially knotted or linked proper subgraph but that are not embedded in the plane.

Video talk Sonja Berthel

Kolloquium_Sonja_Berthel_13_01_2021.pdf

Myfawny Evans (University of Potsdam): Tangled networks on surface scaffolds

Using surfaces as scaffolds provides a nice way to examine complicated three-dimensional structures. For example, a carbon nanotube is most easily described as a tiling by hexagons on a cylinder, and a virus structure as a tiling on the sphere. As the genus of the surface increases, these three-dimensional structures can become knotted, linked and entangled. This talk will give an overview of the interplay between networks, tilings and hyperbolic surfaces in the context of a stunning example of a self assembled block copolymer system. The talk will focus on constructive techniques and interactions with applications, with no specific prior knowledge required.