Abstract:

The aim of this talk is not to present famous and important open problems like for instance:  Hilbert XVI problem or The 3n+1 Conjecture or Collatz Problem,... Instead, I will give a list of questions that I have found during my research, most of them about planar polynomial differential equations, that  I believe that it is worth thinking about and for which  I hope that it is possible either to solve or to make some substantial progress.

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