====== Rigoberto Flórez (South Carolina at Sumter) ====== ====== Harmonic Conjugation and Projective Rectangles ====== ===== Abstract for the Combinatorics Seminar 2010 May 23 ===== Harmonic conjugation, a fundamental property in projective geometry, extends to matroids. A //projective rectangle// is a generalization of a projective plane, where not every two lines intersect. In this talk I discuss the construction of a projective rectangle using the matroid generalization of harmonic conjugation. ----