A GEOMETRIC CONSTRUCTION OF SATURATED FUSION SYSTEMS
Carles Broto, Ran Levi, and Bob Oliver 

A saturated fusion system consists of a finite $p$-group $S$, together 
with a category which encodes ``conjugacy'' relations among subgroups of 
$S$, and which satisfies certain axioms which are motivated by properties 
of the fusion in a Sylow $p$-subgroup of a finite group.  We describe here 
new ways of constructing abstract saturated fusion systems, first as 
fusion systems of spaces with certain properties, and then via certain 
graphs.