Orateur
Xavier Buff
(Institut de Mathématiques de Toulouse)
Description
The goal of this series of lecture is to present the relation between the dynamics of germs $f:({\mathbb C}^2,0)\to ({\mathbb C}^2,0)$ tangent to the identity, the real-time dynamics of homogeneous vector fields in ${\mathbb C}^2$ and the dynamics of the geodesic flow on affine surfaces.
In the second lecture, we will explain how, to each germ $f:({\mathbb C}^2,0)\to ({\mathbb C}^2,0)$ tangent to the identity, one can associate a homogeneous vector field in ${\mathbb C}^2$ and a meromorphic affine surface modeled on the Riemann sphere minus finitely many points.
