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SUMMARY:Linda Keen (CUNY\, USA)
DTSTART:20210209T140000Z
DTEND:20210209T150000Z
DTSTAMP:20260422T201358Z
UID:CAvid/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/29/">P
 arameter spaces of families of transcendental functions</a>\nby Linda Keen
  (CUNY\, USA) as part of CAvid: Complex Analysis video seminar\n\nLecture 
 held in N/A.\n\nAbstract\nThis lecture is based on joint work with Tao Che
 n\, Nuria Fagella and Yunping Jiang. It is part of a more general program 
 to understand parameter spaces of transcendental maps.\n\nIf we perturb a 
 rational function by a topological conjugacy we obtain a rational function
 \, so the dynamics depend on the coefficients\, which therefore form a nat
 ural parameter space. It is not true that there is a natural way of parame
 terizing general families of transcendental functions so that a perturbati
 on of the function remains in the family. This makes it difficult to descr
 ibe how the dynamics varies across these families. We will look at two exa
 mples of reasonably general families of transcendental meromorphic functio
 ns where one can overcome these difficulties. What this means is that we w
 ill be able to describe the properties of the components defined by the bi
 furcation locus. We will see at the end how these examples fit into the la
 rger program.\n
LOCATION:https://researchseminars.org/talk/CAvid/29/
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