Abstract.

I will discuss a few applications of the Klein-Pluecker quadric formalism
to geometric incidence problems. It has at least two advantages. The first
one is that it enables one to identify quite a few Euclidean 2Dcombinatorial
problems, which can be solved by an application of the Guth-Katz theorem
for line/line incidences in PR^3, as a hammer. The second one is that it
enables one to prove a nontrivial plane-point incidence bound in PF^3,
where F is any field. This bound yields new sum-product type results in
the case when F has a large positive characteristic.