Tuesday, September 8
Jason Manning, University at Buffalo
It is unknown whether there exists a hyperbolic group which is not residually finite. Under the assumption that there is no such group, we deduce the separability of all quasiconvex subgroups of hyperbolic and (a class of) relatively hyperbolic groups. The main tools are relatively hyperbolic Dehn filling and (in the case of relatively hyperbolic groups) a combination theorem of Martinez-Pedroza. Part of this work is joint with Ian Agol and Daniel Groves; the rest is joint with Eduardo Martinez-Pedroza.
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