Geometry and Topology Seminar: On right-angled polygons in hyperbolic space
17 January 2019 13:00 in CM301
Motivated by a recent work of Delgove and Retailleau on right-angled hexagons in hyperbolic 5-space, we will discuss right-angled polygons in hyperbolic spaces of arbitrary dimension. Clifford algebras will be used to model hyperbolic space with its isometries and to exploit cross-ratios in higher dimensional hyperbolic spaces. This will allow the generalisation of the aforementioned work in order to present an algorithm to construct a p-gon given by p-3 Clifford vectors. This is joint work with Edoardo Dotti.