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BEGIN:VEVENT
UID:6623@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20201127T110000
DTEND;TZID=Europe/Paris:20201127T120000
DTSTAMP:20241207T134538Z
URL:https://www.i2m.univ-amu.fr/evenements/transcendental-dynamics-and-ite
 rations-on-infinite-dimensional-teichmuller-spaces-konstantin-bogdanov/
SUMMARY:Konstantin Bogdanov (I2M\, Aix-Marseille Université): Transcendent
 al dynamics and iterations on infinite-dimensional Teichmüller spaces
DESCRIPTION:Konstantin Bogdanov: A task of high importance in holomorphic d
 ynamics is to understand and describe the dynamical behavior of critical (
 or singular) orbits. The most famous example is the Mandelbrot set which p
 arametrizes the set of quadratic polynomials with the non-escaping critica
 l orbit. In our talk we present a theorem which classifies within certain 
 families the transcendental entire functions for which all singular values
  escape\, that is\, inside of the complement of the "transcendental analog
 ue'' of the Mandelbrot set.\nA key to the proof of this theorem is the gen
 eralization of the celebrated Thurston's Topological Characterization of R
 ational Functions\, but in our case we consider the infinite rather than f
 inite post-singular set. Analogously to the Thurston's theorem one defines
  the sigma-iteration on the Teichmüller space and investigates the questi
 on of convergence. But this time the underlying Teichmüller space is infi
 nite-dimensional which leads to a completely different theory.\nSeulement 
 par zoom:\n\nhttps://univ-amu-fr.zoom.us/j/91654042358?pwd=VUdTWkx0S3NPYkN
 JaUZDOXFuSTJjQT09\n\n(pour obtenir le login\, voir mail)
CATEGORIES:Séminaire,Rauzy,Virtual event
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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DTSTART:20201025T020000
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