| Abstract:
A generalized polygon is a spherical building of rank two.
Equivalently, a generalized polygon is a bipartite graph
such that its diameter equals half the length of a shortest circuit.
The generalized polygons which are the spherical buildings
associated with classical and algebraic groups satisfy
the Moufang property. Tits classified spherical buildings of
rank at least three in 1968. Subsequently, he proposed the
possibility of classifying Moufang polygons, made detailed
conjectures concerning the classification and proved many of them.
Tits and I are currently writing a book giving the complete
classification. In this talk, I will give an overview of this work. |
alexsuciu@neu.edu