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SUMMARY:The abstract commensurator of Out(F_3) - Ric Wade (Oxford)
DTSTART:20181012T124500Z
DTEND:20181012T134500Z
UID:TALK110758@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:A theorem of Farb and Handel states that when n is greater tha
 n or equal to 4\, every isomorphism between two finite index subgroups of 
 Out(F_n) is induced by conjugation in the group. In joint work with Camill
 e Horbez\, we show that this is also true in the case when n=3. The proof 
 proceeds in the spirit of Ivanov's work on the mapping class group and uti
 lizes the action of Out(F_3) and its subgroups on relative free factor gra
 phs and their boundaries. Time permitting\, I will also discuss generaliza
 tions of the proof to other normal subgroups of Out(F_3) or in the case wh
 ere n is arbitrary.
LOCATION:CMS\, MR13
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