Surfaces affines et germes tangents à l'identité

Homogeneous vector fields on C2 and meromorphic connections on P1(C)

10 juil. 2023, 10:30

50m

Salle K. Johnson (1R3-1er étage) (Institut de Mathématiques)

Orateur

Fabrizio Bianchi

Description

Following the work of Abate, Bracci, and Tovena, I will explain a relation between the real integral curves of a homogeneous vector field on ${\mathbb{C}}^2$ and the geodesics for a suitable meromorphic connection on ${\mathbb{P}}^1(\mathbb{C})$. The result partially generalizes in higher dimensions