From symmetric spaces to generalized buildings
Geb. 20.30, SR 2.058
Abstract: The Archimedean property in the setting of classical geometry states the length of a longer segment is at most a finite multiple of the length of a smaller segment. We explore geometries where this property fails. We construct analogues of symmetric spaces over non-Archimedean fields and discuss their connections to non-discrete affine buildings. Real closed fields and their model-theoretic properties will play a role along the way.