Sprecher
Raman Sanyal
Beschreibung
The combinatorics of a central arrangement of real hyperplanes is encoded in a
zonotope, the Minkowski sum of segments perpendicular to the hyperplanes. An
arrangement is strongly inscribable if it has a zonotope all whose vertices
lie on the unit sphere. The study of inscribed zonotopes and inscribable
arrangements arises from efforts to extend Rivin’s solution to Steiner’s
inscribability problem beyond three dimensions. Strongly inscribable
arrangements reveal new connections to reflection groups and Grünbaum’s quest
for simplicial arrangements. This talk is based on joint work with Sebastian
Manecke.