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.