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Seminar

Topology Seminar: NonLERFness of arithmetic hyperbolic manifold groups September 07, 2016 (04:10 PM PDT - 05:00 PM PDT)
Parent Program: --
Location: 3 Evans Hall
Speaker(s) Hongbin Sun (University of California, Berkeley)
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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.

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