Characterisations of the non-singular quadric of PG(4,q) 

 

In this talk we give two characterisations of generator lines of the non-singular quadric in PG(4,q).  The first is a result from my Master's thesis, while the second is more recent work. The proof of these results uses (in my opinion) satisfying geometric and combinatorial arguments (and even a graph-theoretic approach at one point). 

This is a joint work with Susan Barwick.