Translation, Dilation, Affine and other Structures on Surfaces

Holomorphic dynamics in dimension 2 and geometry of surfaces

7 avr. 2025, 09:30

1h

Amphithéatre Schwartz ( Institut de Mathématiques de Toulouse)

Orateur

Jasmin Raissy

Description

In this introductory lecture I will present the connections between the dynamics of germs of biholomorphisms of ${\mathbb{C}}^2$ tangent to the identity at a fixed point, the real-time dynamics of homogeneous vector fields in ${\mathbb{C}}^2$ and the dynamics of the geodesic flow on affine surfaces, focusing on open problems.