On geometric complexity of Julia sets - II

24.08.2020 - 27.08.2020 | Online

Attention: Due to the current situation with coronavirus, this conference will take place online. Please register in order to receive the log in details for attending the talks. The registration will remain open during the conference, please register at least one day in advance of the talk that you want to attend.


The conference addresses a question of how complex Julia sets can be. This topic is of a great importance in modern dynamical systems. It inludes (but is not limited to):

  • Hausdorff dimension and Lebesgue  measure,
  • connectivity, local connectivity and porosity,
  • computability and computational complexity,
  • accessibility from infinity of points of Julia sets
    of both rational maps and transcendental functions.

Many established specialists in complex dynamics, including Artur Avila, Krzysztof Barański, Xavier Buff, Arnoud Chéritat, Núria Fagella, Hiroyuki Inou, Bogusława Karpińska, Genadi Levin, Mikhail Lyubich, Mitsuhiro Shishikura, Grzegorz Świątek and Anna Zdunik studied geometric complexity of Julia sets and obtained prominent results. However, many problems remain wide open. We hope that during the planned conference fruitful discussions will emerge, new techniques will be discussed and new collaborations will start.

If you would like to participate in the conference, please fill in the application form which can be accessed by clicking the "registration" button on the conference webpage and you will receive the Zoom meeting details.

Conference e-mail: 20-juliasets2@impan.pl

Other conferences in this series:
• On geometric complexity of Julia sets (Będlewo, 18.03.2018 - 23.03.2018)
• On geometric complexity of Julia sets - III (Będlewo, 21.03.2021 - 26.03.2021)

Pictures by M. Shishikura, S. Sutherland and D. Martí-Pete respectively.


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