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Arakelov-Green's functions for polarized dynamical systems

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  • UserNicole Looper, UIC
  • ClockWednesday 08 May 2024, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Holly Krieger .

In the early 2000s, Baker and Rumely introduced dynamical Arakelov-Green’s functions associated to rational functions on P^1. Just as classical 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 has been especially true in studying points of small canonical height. In this talk, I will discuss a recent adaptation of these functions to the higher-dimensional setting. As time allows, I will discuss applications to abelian varieties and potential directions for future work.

This talk is part of the Algebraic Geometry Seminar series.

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