Quasiconformal Mappings and
Complex Dynamical Systems
Satellite Thematic Session of the 6th European Congress of Mathematics
Satellite Thematic Session of the 6th European Congress of Mathematics
The topic of the Satellite Thematic Session concentrates mainly on quasiconformal mappings and complex dynamical systems. In recent years, both these theories, initiated by Julia, Ahlfors, Grötzsch, Lavrentiev, etc. more than 90 years ago, have taken on new life and entered a period of renewed activity and development in Geometric Function Theory. Nowadays planar quasiconformal maps are recognized as a standard tool in various areas of complex analysis such as Teichmüller theory, Kleinian groups, ODE, PDE, Potential Theory, Group Theory, etc. One of the main reasons for this is that in the plane a flexible existence theorem for quasiconformal maps is available in the Measurable Riemann Mapping Theorem. The famous Sullivan proof of the No Wandering Theorem led to revival of holomorphic dynamics after 60 years of stagnation, and discovered a dictionary between quasiconformal methods to the setting of rational maps, he translated Ahlfors' finiteness theorem into a solution of the long-outstanding problem of wandering domains.
The principal aim of the STS "Quasiconformal Mappings and Complex Dynamical Systems" is to bring together leading experts in the mentioned fields, with an eye toward setting the agenda for future investigations, especially as relates to applications in allied areas of Mathematical Analysis. A collateral aim is to provide participants with current updates in the subjects covered by the STS.
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