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SUMMARY:Arakelov-Green's functions for polarized dynamical systems - Nicol
 e Looper\, UIC
DTSTART:20240508T131500Z
DTEND:20240508T141500Z
UID:TALK212581@talks.cam.ac.uk
CONTACT:Holly Krieger
DESCRIPTION:In the early 2000s\, Baker and Rumely introduced dynamical Ara
 kelov-Green's functions associated to rational functions on P^1. Just as c
 lassical Arakelov-Green's functions have played a fundamental role in the 
 arithmetic geometry of curves\, these dynamical Arakelov-Green's functions
  have been used repeatedly in one-dimensional arithmetic dynamics. This ha
 s been especially true in studying points of small canonical height. In th
 is talk\, I will discuss a recent adaptation of these functions to the hig
 her-dimensional setting. As time allows\, I will discuss applications to a
 belian varieties and potential directions for future work.
LOCATION:CMS MR13
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