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UID:4733@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230407T110000
DTEND;TZID=Europe/Paris:20230407T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/measured-foliations-at-infinity
 -of-quasi-fuchsian-manifolds-close-to-the-fuchsian-locus/
SUMMARY: (...): Measured foliations at infinity of quasi-Fuchsian manifolds
  close to the Fuchsian locus
DESCRIPTION:: Given a closed\, oriented surface with genus greater that 2\,
  we study quasi-Fuchsian hyperbolic 3-manifolds homeomorphic to this surfa
 ce times the interval. Different properties of these manifolds have been c
 arefully studied in previous important works on 3 manifold geometry and to
 pology and some interesting questions about them still remain to be answer
 ed.\n\nIn this talk\, we will focus on a new geometric invariant associate
 d to them which we call the measured foliations at infinity. These are hor
 izontal measured foliations of a holomorphic quadratic differential ( the 
 Schwarzian derivative )  associated canonically with each of the two conn
 ected component of the boundary at infinity of a quasi-Fuchsian manifold. 
 We ask whether given any pair of measured foliations (F\,G) on a surface\,
  is there a quasi-Fuchsian manifold with F and G as it measured foliations
  at infinity. The answer is affirmative under certain assumptions\; first\
 , (F\,G) satisfy the property of being an "arational filling pair" and sec
 ond\, the quasi-Fuchsian manifold should be very close to being "Fuchsian"
  . The goal of this talk would be introducing the concepts and outlining t
 he proof idea. \n[su_spacer size="10"]\n\n\nSéminaire RAUZY\n
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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