Black holes are a celebrated prediction of general relativity. We will discuss them from a geometric point of view, first centering our discussion on the Schwarzschild metric. Throughout the talk, we draw from physical intuition so as to arrive at interesting and bizarre physical interpretations; however, no prior knowledge of general relativity will be assumed. Time permitting, we will discuss various related topics such as closed trapped surfaces and their formation, Penrose's incompleteness theorem and/or cosmic censorship. Speaker(s): Christopher Stith (University of Michigan)