A talk in the Oberseminar Gruppen und Geometrie series by Jeroen Schillewaert from The University of Auckland
Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We provide a characterization of a wide class of Lie geometries as parapolar spaces satisfying a simple intersection property. In particular many of the exceptional Lie geometries occur. In fact, our approach unifies and extends several earlier characterizations of (exceptional) Lie geometries arising from sfbspherical Tits-buildings.
This is joint work with Anneleen De Schepper, Hendrik Van Maldeghem and Magali Victoor.