Universal hyperbolic graphs and spaces and their isometry groupsMPIM

by Katrin Tent (Universität Münster)

Thursday Jul 16, 2026, 1:30 PM → 2:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Oberseminar Differentialgeometrie

I will present a construction of a universal homogeneous hyperbolic

metric space, i.e. a metric space in which every finite hyperbolic space

with rational distances can be isometrically embedded, in analogy to the

Urysohn space. The isometry group of this space is a totally

disconnected polish group and I will discuss simplicity and primitivity of

the group and its action.