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 M3//EN
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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20260128T110818Z
DTSTART:20260202T140000Z
DTEND:20260202T150000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Julia Münch
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}a1je-mkxx98
 55-589ehx
DESCRIPTION:Speaker: Julia Münch (University of Liverpool)\n\nTitle: Exte
 nsions and applications to Sullivan's dictionary\n\nAbstract: For genera
 lising complex dynamics to higher real dimensions it is natural to consi
 der quasi-regular mappings. The subfamily of uniformly quasi-regular map
 pings is particularly well understood but it is difficult to find intere
 sting examples. I will be talking about a result obtained joint with Dan
 iel Meyer\; we showed that one can extend a certain class of holomorphic
  functions (expanding Thurston maps) on the Riemann sphere S^2 to a unif
 ormly quasi-regular mapping F defined on a subset ? of R^3 containing S^
 2 in its interior.\n\nIn the second part of the talk we will present two
  applications of this construction that is motivated by Sullivan’s dicti
 onary. Sullivan’s dictionary stipulates an analogy between objects\, con
 jectures and theorems in complex dynamics and the study of Kleinian grou
 ps. We will examine the properties of the extension F with respect to th
 e hyperbolic metric\, and show an application that has a counterpart in 
 the theory of Kleinian groups. The aim of the talk is to explain a const
 ruction of a space-filling curve that is the boundary of an immersed and
  severely folded plane.\n\nRoom: Frank Adams 1\n\nFurther information: h
 ttps://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_ana
 lysis
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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