On geometric complexity of Julia sets - II

12.07.2020 - 17.07.2020 | Będlewo



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.

The following invited speakers confirmed their participation:

Anna Miriam Benini (Università di Parma)
Walter Bergweiler (Christian-Albrechts-Universität zu Kiel)
Jordi Canela (Centre de Recerca Matemàtica, Barcelona)
Davoud Cheraghi (Imperial College London)
Alexandre De Zotti (Imperial College London)
Dzmitry Dudko (Stony Brook University)
Vasiliki Evdoridou (The Open University)
Hiroyuki Inou (Kyoto University)
Genadi Levin (Hebrew University of Jerusalem)
Sabyasachi Mukherjee (Stony Brook University)
Phil Rippon (The Open University)
Gwyneth Stallard (The Open University)
Giulio Tiozzo (University of Toronto)
Michael Yampolsky (University of Toronto)
Anna Zdunik (University of Warsaw)

If you would like to participate in the conference, please, submit the application form which can be accessed by clicking the "registration" button on the conference webpage. To propose a talk after the registration you can submit an abstract using the provided credentials.

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



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