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SUMMARY:Jason Bell
DTSTART:20210517T160000Z
DTEND:20210517T170000Z
DTSTAMP:20260423T052956Z
UID:UNYONTC/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/20/"
 >Transcendental dynamical degrees of birational maps</a>\nby Jason Bell as
  part of Upstate New York Online Number Theory Colloquium\n\n\nAbstract\nT
 he degree of a dominant rational map $f:\\mathbb{P}^n\\to \\mathbb{P}^n$ i
 s\nthe common degree of its homogeneous components.  By considering iterat
 es of $f$\,\none can form a sequence ${\\rm deg}(f^n)$\, which is submulti
 plicative and hence has\nthe property that there is some $\\lambda\\ge 1$ 
 such that $({\\rm deg}(f^n))^{1/n}\\to\n\\lambda$.  The quantity $\\lambda
 $ is called the first dynamical degree of $f$. \nWe’ll give an overview 
 of the significance of the dynamical degree in complex\ndynamics and descr
 ibe recent examples in which this dynamical degree is provably\ntranscende
 ntal.  This is joint work with Jeffrey Diller\, Mattias Jonsson\, and Holl
 y\nKrieger.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/20/
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