Invariant random subgroups and hyperbolic manifolds

Invariant random subgroups are probabilistic objects that can be defined
for any locally compact group. In some sense they are a generalisation of
lattices, and in particular they can be used to compactify the space of
lattices in a given group. In this talk I will explain how to use this to
get asymptotic results on sequences of arithmetic hyperbolic manifolds

(this is partly joint work with M. Fraczyk).