*Projective and affine embeddings of geometries*

Frank De Clerck (Universiteit Gent)

In the talk we will report on old and recent results of full embeddings of geometries in a projective or affine space. The geometries we are considering are (alpha,beta) geometries, being partial linear spaces of order (s,t) such that for every antiflag (x,L) there are either alpha or beta points on L, collinear to x.