Jul 10 – 13, 2023
Institut de Mathématiques
Europe/Paris timezone

Homogeneous vector fields on ${\mathbb C}^2$ and meromorphic connections on ${\mathbb P}^1({\mathbb C})$

Jul 10, 2023, 10:30 AM
50m
Salle K. Johnson (1R3-1er étage) (Institut de Mathématiques)

Salle K. Johnson (1R3-1er étage)

Institut de Mathématiques

Institut de Mathématiques de Toulouse 118, route de Narbonne - Bat. 1R3 F-31062 Toulouse Cedex 9

Speaker

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

Presentation materials

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