Caltech/USC/UCLA Joint Topology Seminar
NonLERFness of arithmetic hyperbolic manifold groups
Hongbin Sun,
Department of Mathematics,
University of California, Berkeley,
We will show that, for "almost" all arithmetic hyperbolic manifolds with dimension >3, their fundamental groups are not LERF. The main ingredient in the proof is a study of certain graph of groups with hyperbolic 3-manifold groups being the vertex groups. We will also show that a compact irreducible 3-manifold with empty or tori boundary does not support a geometric structure if and only if its fundamental group is not LERF.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].
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