Title: Hidden symmetries in cosmology and black holes

Abstract: Homogenous cosmological models and black holes belong to classes of space-time metrics defined in terms of a finite number of degrees of freedom. For these, the dynamics reduces to a one-dimensional mechanical model. It is then easy to investigate their classical symmetries and the corresponding conserved charges. 

These dynamical symmetries have a geometric interpretation, not in terms of spacetime geometry, but in terms of motion on the field space. Moreover, they interplay with the fiducial scales, introduced to regulate the homogeneous model, suggesting a relationship with the boundary structure of the full theory.  

Finally, I will describe a framework where the connection between these symmetries and the boundary structures can be made more explicit, thanks to the inclusion of inhomogeneities.