Hyperbolization on infinite type 3-manifold
Abstract:
We will answer the following question:
Question(Agol): Is there a 3-dimensional manifold M with no divisible subgroups in pi_1(M) that is locally hyperbolic but not hyperbolic?
Specifically we construct an example of such a 3-manifold. Time permitting, we will state a characterisation of hyperbolizable 3-manifolds in a reasonable class and maybe give an example of a non residually finite Kleinian group.