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SUMMARY:Caroline Series (Warwick)
DTSTART:20200623T150000Z
DTEND:20200623T153000Z
DTSTAMP:20260423T003231Z
UID:GaTO/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/16/">Ge
 ometry in non-discrete groups of hyperbolic isometries: Primitive stabilit
 y and the Bowditch Q-conditions are equivalent.</a>\nby Caroline Series (W
 arwick) as part of Geometry and topology online\n\n\nAbstract\nThere are g
 eometrical conditions on a group of hyperbolic isometries which are of int
 erest even when the group is not discrete. We explain two such conditions\
 ; these are stated in terms of the images of primitive elements of the fre
 e group \\(F_2\\) under an \\(\\textrm{SL}(2\,\\mathbb{C})\\) representati
 on. One is Minsky’s condition of <i>primitive stability</i>\; the other 
 is the so-called <i>BQ-conditions</i> introduced by Bowditch and generalis
 ed by Tan\, Wong\, and Zhang.\n\nThese two conditions have been shown to b
 e equivalent by Jaijeong Lee and Binbin Xu (Trans AMS 2020) and independen
 tly by the speaker (arxiv 2019). We will explain the ideas using an combin
 ation of both methods. If time permits\, we also explain another\, closely
  related\, condition which constrains the axes of palindromic primitive el
 ements.\n
LOCATION:https://researchseminars.org/talk/GaTO/16/
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