Critical orbits and arithmetic equidistribution

Laura Demarco*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

These notes present recent progress on a conjecture about the dynamics of rational maps on P 1(C), connecting critical orbit relations and the structure of the bifurcation locus to the geometry and arithmetic of postcritically finite maps within the moduli space Md . The conjecture first appeared in a 2013 publication by Baker and DeMarco. Also presented are some related results and open questions.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages1885-1905
Number of pages21
ISBN (Electronic)9789813272927
StatePublished - 2018
Event2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil
Duration: Aug 1 2018Aug 9 2018

Publication series

NameProceedings of the International Congress of Mathematicians, ICM 2018
Volume3

Conference

Conference2018 International Congress of Mathematicians, ICM 2018
CountryBrazil
CityRio de Janeiro
Period8/1/188/9/18

ASJC Scopus subject areas

  • Mathematics(all)

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