====== Rigoberto Florez (Binghamton) ======

====== Harmonic Conjugation in Harmonic Matroids ======

===== Abstract for the Combinatorics Seminar 2005 February 14 =====

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.