Melvin Yeung (University of Hasselt), The theorem of Dulac and real normal forms for saddle nodes

We will discuss the Theorem of Dulac and Ilyashenko's attempt at proof. We will particularly focus on the role of the classification of Saddle nodes in the style of Martinet-Ramis and how one of the ways to repair the gap could be based on real normal forms for the Dulac maps of saddle nodes.