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SUMMARY:Thurston eigenvalues for unbounded postcritically finite rational 
 maps - Holly Krieger\, Cambridge
DTSTART:20161123T160000Z
DTEND:20161123T170000Z
UID:TALK67519@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:A postcritically finite (PCF) ramified covering map of the Rie
 mann sphere induces a Thurston pullback map on the Teichmüller space of a
  Riemann surface of genus 0 with the post-critical set removed.  Thurston'
 s topological characterization guarantees that the Thurston pullback of a 
 rational PCF map will have a (unique) fixed point.  The connection between
  the complex dynamics of a PCF rational function and the behavior of its i
 nduced pullback map at the fixed point is not yet well understood.  I'll d
 iscuss some possible connections\, particularly for quadratic PCF maps\, i
 ncluding a question of Buff-Epstein-Koch connecting boundedness in moduli 
 space with the existence of a spectral gap for the pullback maps.
LOCATION:MR13
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