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.

Confirmed invited speakers:

• Fabrizio Bianchi*

• Krzysztof Barański

• Davoud Cheraghi

• Núria Fagella

• Denis Gaidashev*

• Xavier Jarque

• Genadi Levin*

• Luna Lomonaco

• David Martí-Pete

• Khudoyor Mamayusupov

• Nicolae Mihalache

• Mark Pollicott

• Lasse Rempe*

• Dierk Schleicher

• Karoly Simon

• Vyron Vellis

• Polina Vytnova

• Michael Yampolsky

• Jonguk Yang

• Anna Zdunik

(* - tentative)

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: 24-ongeometriccomofjsv@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)