The conference will cover various topics in Holomorphic Dynamics, which is a popular area in Dynamical Systems focusing on iterations of analytic functions in one and several variables, for rational and for transcendental entire functions. It has strong connections with many other areas, including Computability and Computational Complexity, Entropy Theory, Ergodic Theory, Fractals, Harmonic Analysis, KAM Theory, Real Dynamics, Smooth Dynamics, Symbolic Dynamics, Self-similar groups, and Thermodynamical Formalism. Several Fields medalists have worked in Holomorphic Dynamics: Avila, Carleson, McMullen, Milnor, Yoccoz, Smirnov, Sullivan.

 The topics of the conference include (but are 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 the sixth conference in the series. 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.

Invited speakers include: 

Magnus Aspenberg (Lund University) 

Matthieu Astorg (University of Orléans)

Krzysztof Barański (University of Warsaw)

Balázs Bárány (Budapest University of Technology and Economics)

Konstantin Bogdanov (Saarland University)

Davoud Cheraghi (Imperial College London)

Igors Gorbovickis (Constructor University, Bremen, Germany)

Alex Kapiamba (Harvard University)

Boguslawa Karpińska (Warsaw University of Technology)

Maria Kourou (Julius-Maximilians-Universität Würzburg)

Karoly Simon (Budapest University of Technology and Economics)

Giulio Tiozzo (University of Toronto)

Warwick Tucker (Monash University)

Sanju Velani (University of York)

Polina Vytnova (University of Surrey)

Fei Yang (Nanjing University)

Scientific Committee: 

Ayreena Bakhtawar, Artem Dudko, Stefano Marmi, Feliks Przytycki, Michael Yampolsky

Organising Committee:

Ayreena Bakhtawar, Artem Dudko, Krzysztof Frączek, Łukasz Pawelec, Feliks Przytycki

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.

The conference email address:  25-juliasets@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) 

•  On geometric complexity of Julia sets - IV  (Hybrid - Będlewo and online, 14/08/2022 - 19/08/2022) 

•  On geometric complexity of Julia sets - V (Hybrid - Będlewo and online, 21/07/2024 - 26/07/2024)