The goal of the project is to generate and enhance the contact between Brazil, Chile and France, and to establish a network of scientific investigation and development in the area of Anosov aspects of lorentzian and complex geometry, and related questions of piecewise projective actions on the circle. Another important aspect is to encourage the participation of young researchers to ensure the continuity of the collaboration network initiated by this project.
In the last decade, Anosov representations appeared to be an important tool in the study of several geometric notions. This project will allow the collaboration between the scientific teams of the various partners, particularly for their young members, assisted by several international experts in other places in France, Chili or Brazil. A central idea will be to apply the notion of Anosov representations in the following area: