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SUMMARY:Alexandra Edletzberger (Vienna)
DTSTART:20220329T130000Z
DTEND:20220329T150000Z
DTSTAMP:20260423T041009Z
UID:WienGAGT/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/12/
 ">Quasi-Isometries for certain Right-Angled Coxeter Groups</a>\nby Alexand
 ra Edletzberger (Vienna) as part of Vienna Geometry and Analysis on Groups
  Seminar\n\n\nAbstract\nWe will introduce a construction of a specific gra
 ph of groups\, the so-called JSJ tree of cylinders\, for certain right-ang
 led Coxeter groups (RACGs) in terms of the defining graph.\nWe will use th
 is as a tool in the hunt for a solution to the Quasi-Isometry Problem of c
 ertain RACGs\, because if there is a quasi-isometry between two RACGs\, th
 ere is an induced tree isomorphism between the respective JSJ trees of cyl
 inders. In particular\, this tree isomorphism preserves some additional st
 ructure of the JSJ tree of cylinders. With this fact at hand we can distin
 guish RACGs up to quasi-isometry.\nAdditionally\, we explain that in certa
 in cases this structure preserving tree isomorphism even provides a comple
 te quasi-isometry invariant.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/12/
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