| Résume | We will talk about the problem of Dulac, more specifically the asymptotic approach of Ilyashenko and Ecalle. We will talk about what an asymptotic approach means and why it is so appealing through the lens of O-minimality. Then we will talk about some recent developments regarding the approach of Ilyashenko and the interplay of asymptotics and quasi-analyticity, i.e. how much information you need to determine an analytic function at its boundary of analyticity. |
