GT Groupes
The Cross Ratio
20
Nov. 2023
Nov. 2023
Intervenant : | Isobel Davies |
Institution : | OvGU Magdeburg |
Heure : | 14h00 - 15h00 |
Lieu : | 2L8 |
Résumé : A tree without leaves is uniquely determined by a cross ratio
function on its set of ends, this is a result of Tits. The cross ratio
on the boundary of a proper CAT(-1) space, defined and studied by
Bourdon, generalizes the projective cross ratio and its relationship to
hyperbolic geometry. In this talk I will discuss Bourdon's cross ratio
in the context of hyperbolic spaces and thick metric trees, bringing
together the ideas of Tits and Bourdon.