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SUMMARY:Jane Hawkins (University of North Carolina)
DTSTART:20220621T130000Z
DTEND:20220621T140000Z
DTSTAMP:20260422T201236Z
UID:CAvid/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/80/">D
 oubly periodic Julia and Fatou sets for iterated meromorphic functions:  d
 ynamics on unbounded components</a>\nby Jane Hawkins (University of North 
 Carolina) as part of CAvid: Complex Analysis video seminar\n\nLecture held
  in N/A.\n\nAbstract\nElliptic functions give rise under iteration to Juli
 a and Fatou sets that are invariant under the action of translation by ele
 ments of the period lattice. However doubly periodic Julia and Fatou sets 
 can arise for non-elliptic meromorphic functions as well.  Unbounded Fatou
  components in both settings exhibit dynamics different from those of rati
 onal maps and are called toral bands since they can be viewed on a torus (
 a fundamental region in the plane with identifications).  We discuss how t
 he dynamics depend on the function and the lattice\, both its shape and it
 s size\, and what parameter choices produce unbounded components. We will 
 also touch on the stability and connectivity of these components.\n
LOCATION:https://researchseminars.org/talk/CAvid/80/
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