Student Combinatorics Seminar

Consider a point in the plane, and draw three triangles, each of a different colour, containing your point. The colourful Caratheodory's theorem states that your point is contained in a rainbow triangle, made by taking one vertex from each triangle you drew. In this talk, we will state and prove the monochrome and colourful Caratheodory's theorem, as well as some applications of this vibrant theorem. Speaker(s): Scott Neville (University of Michigan)