Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Progressi Recenti in Geometria Reale e Complessa - IX

A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces

Fabrizio Bianchi (CNRS and Laboratoire Paul Painlevé, Lille)

created by daniele on 23 Oct 2014
modified on 05 Nov 2014

20 oct 2014 -- 15:30

Levico Terme

Abstract.

One of the main open problems in local dynamics of several complex variables is the understanding of the dynamics of holomorphic germs tangent to the identity in a full neighbourhood of the origin. Following the work of M. Abate, F. Bracci and F. Tovena, I shall explain how this problem naturally leads to studying the geodesics for a meromorphic connection on the leaves of some foliation in Riemannian surfaces of a projective space and then present a theorem describing the asymptotic behaviour of such geodesics. This is a joint work with Marco Abate.


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