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UID:20260919T235403EDT-22418pvXU4@132.216.98.100
DTSTAMP:20260920T035403Z
DESCRIPTION:Title: Dessins and Dynamics\n\n\n	Abstract: After defining harmo
 nic measure on a planar domain\, I will discuss 'true trees'\, i.e.\, tree
 s drawn in the plane so that every edge has equal harmonic measure and so 
 that these measures are symmetric on each edge. True trees on the 2-sphere
  are a special case in Grothendieck's theory of dessins d'enfant\, where a
  graph on a topological surface induces a conformal structure on that surf
 ace. I will recall the connection between dessins\, equilateral triangulat
 ions and branched coverings (Belyi's theorem). I will also describe some r
 ecent applications of these ideas to holomorphic dynamics: approximating s
 ets by polynomial Julia sets\, finding meromorphic functions with prescrib
 ed postcritical orbits\, constructing finite type dynamical systems on hyp
 erbolic Riemann surfaces\, building wandering domains for entire functions
 \, and estimating the fractal dimensions of transcendental Julia sets. The
 re will be many pictures and few proofs.\n\nFor Zoom meeting information p
 lease email dmitry.jakobson [at] mcgill.ca\n
DTSTART:20220211T193000Z
DTEND:20220211T203000Z
SUMMARY:Chris Bishop (Stony Brook) 
URL:https://www.mcgill.ca/mathstat/channels/event/chris-bishop-stony-brook-
 337456
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