Universality classes of natural selection

Natural selection begets adaptation through the exponential amplification of initially rare, highly fit lineages. As such, it bears strong ressemblance with topics such as extreme value theory (dominance of extreme events) and coarsening dynamics (dominance of large structures); like them, natural selection mathematical theory is structured by a basic limit theorem. I will present that theorem and discuss its potential application to detect statistical signatures of selection in empirical data.