A Walking Tour Through Projective Spaces In this informative and elementary talk, we will discuss glass tabletops, crystal balls, and railroad tracks. We will learn about why lines can be points, when a hole dug to China can get you back where you started, and how to compactify the real line by enlarging it. I will dip into algebraic geometry via a worked example illustrating Bezout's theorem, then venture far beyond my competence by mentioning combinatorics, topology, and number theory, then finally return to my domain of expertise with an application to computer graphics. John Kerl Graduate Student Colloquium March 1, 2006