**Title:** The coarse geometry of relatively hyperbolic spaces

**Abstract:** Coarse geometry is the study of metric spaces from a large scale point of view. Two metric spaces have the same coarse geometry if they *look the same* from infinitely far away. Asymptotic cones are one useful way to formalize this idea of looking at a space from infinitely far away. Originally constructed by Gromov in his proof of the Polynomial Growth Theorem, asymptotic cones provide a rich setting for the study of groups. I will discuss how asymptotic cones give rise to several classes of groups which generalize hyperbolic groups. Specifically I will discuss the asymptotic cones of relatively hyperbolic groups and present a Cartan-Hadamard type theorem for relatively hyperbolic groups.