## Carolina Canales Gonzalez (28/02/2019)

### Speaker: Carolina Canales Gonzalez, Pontificia Universidad Católica de Chile

### Title: Looking for a complex Poincaré-Bendixson theorem

Location: V-258, VR-II

Time: Thursday February 28 at 11.40 am

### Abstract:

The goal of this talk is to introduce the study of holomorphic foliations.

First, we will recall some things about differential equations on $\mathbb{R}^2$, like the Poincaré-Bendixson theorem and Hilbert’s 16th problem and then we will pass to the complex context where we will introduce holomorphic foliations.

The idea is to talk about the problem of the exceptional minimal set, who is an analog of Poincaré-Bendixson theorem in this new context, and about the developments in complex geometry, analysis and dynamics related with the study of this problem.