Sixth Framework Programme

Marie Curie Actions


EU Research Training Network CODY

Conformal Structures and Dynamics

Research Training Networks




Welcome to the webpage of the Marie Curie training network "Conformal Structures and Dynamics (CODY)". The research aim of the CODY network is to understand local self-similar structure of fractal spaces, objects or processes, by methods of space-time conformal rescaling. The investigations and the subject of the training programme of the network is therefore contained in three closely related fields of mathematics and mathematical physics whose common denominator is the notion of conformal or quasiconformal structure: mathematical (conformal) analysis and geometric measure theory, conformal and low-dimensional dynamics, continuum scaling limits of physical processes. The EU wide network will address the fragmentation of the research teams and integrate the research topics across the disciplines of mathematics and physics.

The network includes 9 teams and in particular the majority of European specialists in holomorphic iteration theory and several top groups of scientists in parts of analysis and mathematical physics, to provide a highly professional yet multidisciplinary training in the mathematical techniques involved.


The CODY team is pleased to announce the following:

The team-leader of the Swiss node of CODY, Stanislav Smirnov, was awarded the Fields medal for his work on the mathematical foundations of statistical physics, particularly finite lattice models. The citation mentions his proof of conformal invariance of percolation and the planar Ising model in statistical physics.