We hope this will be a hybrid conference. For those who cannot attend the conference in person, online participation will be possible.

The conference addresses a question of how complex Julia sets can be. This topic is of a great importance in modern dynamical systems. It includes (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 list of confirmed invited speakers includes:

Anna Miriam Benini (Università di Parma) - online Walter Bergweiler  (Christian-Albrechts-Universität zu Kiel) - online Fabrizio Bianchi  (CNRS - Université de Lille) - in person Christopher Bishop (Stony Brook University) - online Luka Boc Thaler (Univerza v Ljubljani) - in person Davoud Cheraghi (Imperial College London) - online Arnaud Chéritat (Institut de Mathématiques de Toulouse) - online Weiwei Cui (Lunds Universitet) - online Kostiantyn Drach (Aix-Marseille Université) - online Dzmitry Dudko (Stony Brook University) - online Vasiliki Evdoridou (The Open University) - in person Núria Fagella (Universitat de Barcelona) - in person Antonio Garijo (Universitat Rovira i Virgili) - online Oleg Ivrii (Tel Aviv University) - in person

Xavier Jarque (Universitat de Barcelona) - in person Masashi Kisaka (Kyoto University) - online Genadi Levin (Hebrew University of Jerusalem) - online Daniel Meyer (University of Liverpool) - online Dan Nicks (University of Nottingham) - online Łukasz Pawelec (SGH - Warsaw School of Economics) - in person Han Peters (Universiteit van Amsterdam) - online Phil Rippon (The Open University) - online Dierk Schleicher (Aix-Marseille Université) - in person Mitsuhiro Shishikura (Kyoto University) - online Gwyneth Stallard (The Open University) - online James Waterman (Stony Brook University) - online Michael Yampolsky (University of Toronto) - online Michel Zinsmeister (Université d'Orléans) - online

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 : 21-juliasets3@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 - II  (Online, 24/08/2020 - 27/08/2020)

 

Institute of Mathematics of the Polish Academy of Sciences		Polish Academy of Sciences		Banach Center