Isobel Davies
Doctoral student
Researcher
Otto von Guericke Universität Magdeburg
E-mail: isobel.davies(at)ovgu.de
Telephone: +49 391 67-51650
Project
62A unified approach to Euclidean buildings and symmetric spaces of noncompact type
Publications within SPP2026
We use the language of proper CAT(-1) spaces to study thick, locally compact trees, the real, complex and quaternionic hyperbolic spaces and the hyperbolic plane over the octonions. These are rank 1 Euclidean buildings, respectively rank 1 symmetric spaces of non-compact type. We give a uniform proof that these spaces may be reconstructed using the cross ratio on their visual boundary, bringing together the work of Tits and Bourdon.
Related project(s):
62A unified approach to Euclidean buildings and symmetric spaces of noncompact type