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UID:20260607T002338EDT-5546Xuv4sV@132.216.98.100
DTSTAMP:20260607T042338Z
DESCRIPTION:Title: Random walks and WPD actions\n\nWe study groups of delta
 -hyperbolic spaces which are not necessarily proper. Such examples occur o
 ften in geometry and topology\, most notably the action of the mapping cla
 ss group on the curve complex\, or of Out(F_n) on the free factor complex.
  Since the action is not proper\, one needs a weak properness condition\, 
 namely the WPD condition formulated by Bestvina-Fujiwara. Under this condi
 tion\, we prove that for random walks on isometry groups of delta-hyperbol
 ic spaces generic elements are WPD\, and the normal closure of a generic e
 lement is a free group. This answers a question of D. Margalit for the map
 ping class group\, and for the Cremona group gives a new proof of the abun
 dance of normal subgroups due to Cantat-Lamy. Joint with Joseph Maher.\n
DTSTART:20180926T190000Z
DTEND:20180926T200000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Giulio Tiozzo (University of Toronto)
URL:/mathstat/channels/event/giulio-tiozzo-university-
 toronto-289908
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