From symmetric spaces to generalized buildings

  • Venue:

    Geb. 20.30, SR 2.058

  • Date:

    06.07.2023

  • Speaker:

    Raphael Appenzeller

  • Time:

    15:45 Uhr

  • 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.