11-12 December 2017
Université Pierre et Marie Curie Paris 6
Europe/Paris timezone

Unique ergodicity for foliations

11 Dec 2017, 16:30
50m
Amphi Herpin (Université Pierre et Marie Curie Paris 6)

Amphi Herpin

Université Pierre et Marie Curie Paris 6

4, place Jussieu 75252 Paris Cedex 05

Speaker

Prof. N. Sibony (Université d'Orsay)

Description

Consider the polynomial differential equation in C² dz/dt = P(z;w); dw/dt = Q(z;w): The polynomials P and Q are holomorphic, the time is complex. In order to study the global behavior of the solutions, it is convenient to consider the extension as a foliation in the projective plane P². I will discuss some recent results around the following questions. What is the ergodic theory of such systems? How do the leaves distribute in a generic case? What is the topology of generic leaves?

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