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SUMMARY:Quid of Complex Fractals and their Combinatorics
DTSTART:20260916T160000Z
DTEND:20260916T170000Z
DTSTAMP:20260920T211200Z
UID:indico-event-17289@indico.math.cnrs.fr
DESCRIPTION:Speakers: Flaisson da Silva (IMPA)\n\n"The classic question of
  complex dynamics is what happens when we iterate a complex analytical fun
 ction. Even very simple maps can produce remarkably complicated behavior\,
  giving rise to fractal sets with rich geometric and combinatorial structu
 res. One of the most known examples comes from the quadratic family z^2+c\
 , whose dynamics give rise to the famous Mandelbrot set.\nIn this talk\, I
  will give an introduction to the Julia Sets and the Mandelbrot Set\, and 
 present a combinatorial framework for analyzing their structure. Several c
 ombinatorial frameworks like this have been developed in the literature fo
 r studying the quadratic family. Here\, we focus on a framework introduced
  by Pascale Roesch and Carsten Petersen\, which provides an important tool
  for comparing the classical setting with its parabolic counterpart\, the 
 so-called Parabolic Mandelbrot set."\n\nhttps://indico.math.cnrs.fr/event/
 17289/
LOCATION:207 (Salle Pellos)
URL:https://indico.math.cnrs.fr/event/17289/
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