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.

This is a very active area within dynamical systems, covering crucial topics in holomorphic dynamics. Several outstanding researchers including Fields medalists and Abel prize winners have worked in this area: Carleson, Sullivan, Thurston, Milnor, Yoccoz, McMullen, Smirnov, Avila. Prominent results have been obtained recent years by invited speakers. 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:

Magnus Aspenberg (Lund University) - in person
Balázs Bárány (Budapest University of Technology and Economics) - in person
Jordi Canela (Universitat Jaume I) - in person
Neil Dobbs (University College Dublin) - in person
Kostiantyn Drach (Institute of Science and Technology, Austria) - in person
Dzmitry Dudko (Stony Brook University) - in person
Igors Gorbovickis (Jacobs University) - in person
Genadi Levin (Hebrew University of Jerusalem) - in person
Peter Lin (Stony Brook University) - in person
Sergiy Merenkov (City College of New York) - in person
Sabyasashi Mukherjee (Tata Institute of Fundamental Research) - online
Leticia Pardo-Simón (University of Manchester) - in person
Lasse Rempe (University of Liverpool) - in person
Pascale Roesch (Institute of Mathematics of Toulouse)
Károly Simon (Budapest University of Technology and Economics) - in person
Giulio Tiozzo (University of Toronto) - in person
Polina Vytnova (Warwick University) - in person
Jonguk Yang (University of Zurich) - online
Anna Zdunik (University of Warsaw) - in person

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: 22-juliasets4@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)
•  On geometric complexity of Julia sets - III  (Hybrid - Będlewo and online, 26/09/2021 - 1/10/2021)

 

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