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UID:6481@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210326T110000
DTEND;TZID=Europe/Paris:20210326T120000
DTSTAMP:20241120T201720Z
URL:https://www.i2m.univ-amu.fr/evenements/decomposition-of-rational-maps/
SUMMARY:Mikhail Hlushchanka (University of California\, Los Angeles): Decom
 position of rational maps
DESCRIPTION:Mikhail Hlushchanka: There are various classical and more recen
 t decomposition results in mapping class group theory\, geometric group th
 eory\, and complex dynamics (which include celebrated results by Bill Thur
 ston). The goal of this talk is to introduce a new decomposition of ration
 al maps based on the geometry of their Julia sets. Namely\, we will discus
 s the following result: every postcritically-finite rational map with non-
 empty Fatou set can be canonically decomposed into crochet maps (these 
 have “very thinly connected Julia sets”) and Sierpinski carpet maps
  (these have “very heavily connected Julia sets”).\nBased on joint wo
 rk with Dima Dudko and Dierk Schleicher.\n\nLien Zoom :\nhttps://univ-amu-
 fr.zoom.us/j/96990845025?pwd=WUVJc2IvYjhjaW15bG5QYTB5bjJ6UT09\nMeeting ID:
  969 9084 5025\nPasscode: voir mail\n\n\n\n\n\n\n\n\n\n\nDecomposition of 
 rational maps (tuning) in\nD. Dudko\, M. Hlushchanka\, D. Schleicher\,\nDe
 composition theory of postcritically-finite rational maps\nand its applica
 tions (paper in preparation).\n\n\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/10/Mikhail_Hlushchanka.jpg
CATEGORIES:Séminaire,Hybrid,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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DTSTART:20201025T020000
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