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UID:20251121T162511EST-17598xVZdu@132.216.98.100
DTSTAMP:20251121T212511Z
DESCRIPTION:Title: Conformal surface embeddings and extremal length.\n\nAbs
 tract: Given two Riemann surfaces with boundary and a homotopy class of to
 pological embeddings between them\, we show there is a conformal embedding
  in the homotopy class if and only if the extremal length of every simple 
 multi-curve is decreased under the embedding. For applications to dynamica
 l systems\, we need an additional fact: if the ratio is bounded above away
  from one\, then it remains so under passing to any finite cover. I will a
 lso briefly mention how under natural conditions the technique of quasicon
 formal surgery promotes so-called rational-like maps f:f^{-1}(S)→S\, where
  f^{-1}(S)⊂S are planar Riemann surfaces\, to rational maps. This is joint
  work of Jeremy Kahn\, Kevin M. Pilgrim\, and Dylan P. Thurston\; https://
 arxiv.org/abs/1507.05294\n\nTo attend a zoom session\, and for suggestions
 \, questions etc. please contact Galia Dafni (galia.dafni [at] concordia.c
 a)\, Alexandre Girouard (alexandre.girouard [at] mat.ulaval.ca)\, Dmitry J
 akobson (dmitry.jakobson [at] mcgill.ca)\, Damir Kinzebulatov (damir.kinze
 bulatov [at] mat.ulaval.ca) or Maxime Fortier Bourque (maxime.fortier.bour
 que [at] umontreal.ca)\n	 \n
DTSTART:20220325T183000Z
DTEND:20220325T193000Z
SUMMARY:Kevin Pilgrim (Indiana University)
URL:/mathstat/channels/event/kevin-pilgrim-indiana-uni
 versity-338533
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