# Martin Winter: Capturing Polytopal Symmetries in the Edge-Graph

**Time: **
Wed 2021-03-24 10.15 - 11.15

**Location: **
Zoom meeting ID: 654 5562 3260

**Lecturer: **
Martin Winter (TU Chemnitz)

Abstract: In general dimension the edge-graph of a polytope carries very little

information about the polytope itself.

For example, the edge-graph can have many more symmetries than the

polytope or any realization thereof.

Using techniques from spectral graph theory and convex geometry we

show that the edge-graph of every polytope

can be colored so that every combinatorial symmetry of the colored

edge-graph extends to a geometric symmetry of the polytope.

Zoom link: https://kth-se.zoom.us/j/65455623260

Zoom meeting ID: 654 5562 3260