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UID:20250701T131046EDT-0973XmNStu@132.216.98.100
DTSTAMP:20250701T171046Z
DESCRIPTION:Title: Trees\, dendrites\, and the Cannon-Thurston map.\n\nAbst
 ract: \n\nWhen 1→H→G→Q→1 is a short exact sequence of three word-hyperboli
 c groups\, Mahan Mitra (Mj) has shown that the inclusion map from H to G e
 xtends continuously to a map between the Gromov boundaries of H and G. Thi
 s boundary map is known as the Cannon-Thurston map. In this context\, Mitr
 a associates to every point z in the Gromov boundary of Q an 'ending lamin
 ation' on H which consists of pairs of distinct points in the boundary of 
 H. We prove that for each such z\, the quotient of the Gromov boundary of 
 H by the equivalence relation generated by this ending lamination is a den
 drite\, that is\, a tree-like topological space. This result generalizes t
 he work of Kapovich-Lustig and Dowdall-Kapovich-Taylor\, who prove that in
  the case where H is a free group and Q is a convex cocompact purely atoro
 idal subgroup of Out(Fn)\, one can identify the resultant quotient space w
 ith a certain R-tree in the boundary of Culler-Vogtmann's Outer space.\n\n
  \n
DTSTART:20191113T200000Z
DTEND:20191113T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Elizabeth Fields (University of Illinois at Urbana-Champaign)
URL:/mathstat/channels/event/elizabeth-fields-universi
 ty-illinois-urbana-champaign-302496
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