Multilinear maps is a new hot topic in cryptography because they offer a significant number of applications. The main open problem in this area is constructing a secure and efficiently computable multilinear map. In this talk, we introduce cryptographic multilinear maps, go through several applications, and then discuss some possible obstructions to constructing one. The main reference for this talk is the paper "Applications of Multilinear Forms to Cryptography" by Dan Boneh and Alice Silverberg.