Speaker
Description
The possibility of our Universe having a non-trivial spatial topology has received significant attention recently, as it could serve as a potential explanation of the Cosmic Microwave Background (CMB) large-angle anomalies and have interesting phenomenology in the early Universe. So far most efforts to study the shape of the cosmos have focused on spatially flat models, such as the simple three-torus, partly due to the simpler calculations involved. In this talk I will show how to deal with cosmological perturbations in Lens Spaces, a family of positively curved universes that arise as quotients of the familiar three-sphere. Developing both the theoretical and numerical formalism in Lens Spaces allows us to study how the CMB sky would look in such a universe and opens the way to properly study primordial features in this class of manifolds.