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SUMMARY:Henry Segerman (Oklahoma SU)
DTSTART:20200519T150000Z
DTEND:20200519T153000Z
DTSTAMP:20260423T003254Z
UID:GaTO/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/7/">Fro
 m veering triangulations to Cannon-Thurston maps</a>\nby Henry Segerman (O
 klahoma SU) as part of Geometry and topology online\n\nLecture held in NA.
 \n\nAbstract\nAgol introduced veering triangulations of\nmapping tori\, wh
 ose combinatorics are canonically associated\nto the pseudo-Anosov monodro
 my.  In previous work\, Hodgson\,\nRubinstein\, Tillmann and I found examp
 les of veering\ntriangulations that are not layered and therefore do not c
 ome\nfrom Agol's construction.\n\n        However\, non-layered veering tr
 iangulations retain many of the\n        good properties enjoyed by mappin
 g tori.  For example\,\n        Schleimer and I constructed a canonical ci
 rcular ordering of\n        the cusps of the universal cover of a veering 
 triangulation.\n        Its order completion gives the <i>veering circle</
 i>\;\n        collapsing a pair of canonically defined laminations gives a
 \n        surjection onto the <i>veering sphere</i>.\n\n        In work in
  progress\, Manning\, Schleimer\, and I prove that the\n        veering sp
 here is the Bowditch boundary of the manifold's\n        fundamental group
  (with respect to its cusp groups).  As an\n        application we produce
  Cannon-Thurston maps for all veering\n        triangulations.  This gives
  the first examples of\n        Cannon-Thurston maps that do not come\, ev
 en virtually\, from\n        surface subgroups.\n
LOCATION:https://researchseminars.org/talk/GaTO/7/
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