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SUMMARY:Holly Krieger (University of Cambridge)
DTSTART:20220222T213000Z
DTEND:20220222T223000Z
DTSTAMP:20260423T125704Z
UID:MITNT/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/41/">T
 ranscendental values of power series and dynamical degrees</a>\nby Holly K
 rieger (University of Cambridge) as part of MIT number theory seminar\n\nL
 ecture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract
 \nI will explain the construction (joint with Bell\, Diller\, and Jonsson)
  of a birational map of projective 3-space with transcendental dynamical d
 egree.  This number is a measure of algebraic complexity of the iterates o
 f a rational map\, and was previously conjectured to be algebraic for all 
 birational maps.  Our proof includes a more general statement on transcend
 ental values of certain power series\, using techniques similar to those o
 f Adamczewski-Bugeaud.\n
LOCATION:https://researchseminars.org/talk/MITNT/41/
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