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SUMMARY:The combinatorics of rational maps
DTSTART:20230301T083000
DTEND:20230301T093000
DTSTAMP:20260414T175504Z
UID:1855d42e3844187e4c7f1cab862268991e715033e19eb0b28597b840
CATEGORIES:Conferences - Seminars
DESCRIPTION:Annina Iseli - University of Fribourg\nTalk - mathematics\nIn 
 the 1980ies William Thurston raised the question about the topological beh
 avior of rational maps on the Riemann sphere. In his famous characterizati
 on of rational maps\, he proved that a postcritically finite branched cove
 ring of the two-sphere is equivalent to a rational map if and only if it d
 oes not admit a Thurston obstruction. The latter constitutes a purely topo
 logical criterion based on the behavior of curves under pullback through t
 he map. There has since been a great effort in the dynamics community to d
 evelop methods that allow for hands-on applications and to prove combinato
 rial version of this theorem.\nIn this talk\, I will present recent joint 
 work with M.Bonk and M.Hlushchanka on eliminating obstructions for Thursto
 n maps with four postcritical points\, and\, outline a current project in 
 progress about the realization of dynamical portraits.\n 
LOCATION:MA B1 524 https://plan.epfl.ch/?room==MA%20B1%20524 https://epfl.
 zoom.us/j/66855840195
STATUS:CONFIRMED
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