Szego Seminar: What an Incidence!

Speaker: Zain Siddiqui, Washington University in St. Louis

Abstract: Euclid’s Elements still stands today as an impressive feat of mathematical reasoning, and it has served as a blueprint for the way modern mathematics is done. That said, in order to put Euclidean geometry on a firm logical ground by modern mathematical standards, some revisions to Euclid’s postulates are required. We will discuss Hilbert’s axioms for geometry, which introduce the ideas of incidence and betweenness, and look at some examples.