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UID:6200@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220110T140000
DTEND;TZID=Europe/Paris:20220110T160000
DTSTAMP:20241209T162229Z
URL:https://www.i2m.univ-amu.fr/evenements/a-topological-characterization-
 of-certain-postsingularly-finite-entire-functions-transcendental-dynamics-
 and-thurston-theory/
SUMMARY:Sergey Shemyakov (I2M\, Aix-Marseille Université): A topological c
 haracterization of certain postsingularly finite entire functions: transce
 ndental dynamics and Thurston theory
DESCRIPTION:Sergey Shemyakov: (presentation in english)\nTitle: A topologic
 al characterization of certain postsingularly finite entire functions: tra
 nscendental dynamics and Thurston theory.\nPhD adviser: Dierk Schleicher\
 nJury: upcoming\nAbstract:\nHolomorphic dynamics is an area of mathematics
  that studies the behavior of iterates of holomorphic and meromorphic func
 tions. It has important connections with numerical analysis\, general dyna
 mical systems\, and in particular topology and geometry\, among many other
  directions. This thesis contributes to Thurston theory\, an important fie
 ld that connects the geometry of 3-manifolds\, the structure of surface au
 tomorphisms\, as well as holomorphic dynamics.\nThe main functions of inte
 rest in this thesis are “multi-error functions”\; these generalize the
  exponential function with a single asymptotic tract\, and the error-funct
 ions with two such tracts. These functions are given by the formula $g(z) 
 = int_0^z e^{p(t)}dt$. We prove that a topological model of such a functio
 n is realized by a unique holomorphic map unless it admits a Levy cycle\, 
 which is one of the simplest topological multicurve obstructions.\nLinks :
 \n- theses.fr\n- ED184 profile
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/05/Sergey_Shemyakov.jpg
CATEGORIES:Soutenance de thèse,GDAC
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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