GT Groupes
The Cross Ratio
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.

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