Perfectoid spaces were very recently introduced by Scholze and Kedlaya-Liu, independently. These objects provide geometric context to the field-of-norms isomorphism from p-adic Hodge Theory, which relates absolute Galois groups in characteristic 0 and characteristic p. In this talk, I will discuss what perfectoid spaces are, why they are soo hawt right now, and then present some natural questions about their geometry which I am interested in answering.