Orateur
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?
