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SUMMARY:On Squeezing Function for Planar Domains
DTSTART;VALUE=DATE-TIME:20221114T130000Z
DTEND;VALUE=DATE-TIME:20221114T140000Z
DTSTAMP;VALUE=DATE-TIME:20230131T041400Z
UID:indico-event-8145@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yekta Okten (IMT)\n\nThe squeezing function is a bih
olomorphic invariant defined on domains in $\\mathbb C^n$ which arose from
the study of invariant metrics on Teichmüller spaces of Riemann surfaces
. Roughly speaking\, it measures how much a domain looks like the unit bal
l looking at a fixed point. The behaviour of the squeezing function is wel
l studied however very few non-trivial explicit formulas of squeezing func
tions have been found. In this talk\, with an elementary technique we will
establish the explicit formulas of squeezing functions on doubly connecte
d planar domains and provide bounds to squeezing functions of higher conne
cted domains. In conclusion\, we will mention further questions about expl
icit formulas of squeezing functions and canonical conformal maps.\n\nhttp
s://indico.math.cnrs.fr/event/8145/
LOCATION:Salle Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/8145/
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