Problem of the Week
Hilton Memorial Lecture
My topic is a generalization of the concept of harmonic conjugation from projective geometry and full algebraic matroids to a larger class of matroids called harmonic matroids. I use harmonic conjugation to construct a projective plane in harmonic matroids without using the axioms of projective geometry. As a particular case I have a combinatorial construction of a projective plane in full algebraic matroids.