Abstract
How our experiences unfold over time define unique trajectories through the relevant repre-sentational spaces. Within this geometric framework, one can compare the shape of the trajectory formed by an experience to that defined by our later remembering of that experience. We propose a framework for mapping naturalistic experiences onto geometric spaces that characterize how they unfold over time. We apply this approach to a naturalistic memory experiment which had participants view and recount a video. We found that the shapes of the trajectories formed by participants’ recountings were all highly similar to that of the original video, but participants differed in the level of detail they remembered. We also identified a network of brain structures that are sensitive to the “shapes” of our ongoing experiences, and an overlapping network that is sensitive to how we will later remember those experiences.