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Topology/Geometry Seminar

Geometric finite amalgamations of hyperbolic 3-manifold groups are not LERF

Hongbin Sun, Rutgers University

Location:  HILL 425
Date & time: Tuesday, 12 September 2017 at 3:30PM - 4:30PM


We will show that, for any two finite volume hyperbolic 3-manifolds, the amalgamations of their fundamental groups along nontrivial geometrically finite subgroups are always not LERF. A consequence of this result is: all arithmetic hyperbolic manifolds with dimension at least 4, with possible exceptions in 7-dimensional manifolds defined by the octonion, their fundamental groups are not LERF.

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