Rigidity for Sierpinski carpet Julia sets

Orateur: Mario Bonk
Localisation: Université de Californie, Los Angeles, États-Unis
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle: 421
Date de début: 14/02/2014 - 10:00
Date de fin: 14/02/2014 - 10:00

Sierpinski carpets are interesting fractals that can arise in a dynamical setting as limits sets of Kleinian groups or Julia sets of rational maps. While the topology of Sierpinski carpets is well-understood, difficult problems arise if one investigate their quasiconformal geometry. In my talk I will focus on some recent joint work with M. Lyubich and S. Merenkov on quasiconformal rigidity questions for Sierpinski carpets that are Julia sets of postcritically-finite rational maps.