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Explore a 31-minute lecture on combining population genetics and quantitative genetics models, presented by Léonard Dekens from ENS of Lyon at Institut Henri Poincaré. Delve into the complex patterns of genetic architecture exhibited by traits under migration-selection balance, including allelic differences of varying magnitude. Learn about a new methodology that accounts for the combined contributions of a major locus and a quantitative background from small effect loci, using the infinitesimal model. Discover how convex analysis justifies trait concentration around major allele effects in a normal distribution, leading to a slow-fast analysis approach. Examine the application of this method to a symmetrical two-patch model, revealing an undocumented phenomenon of polymorphism loss at the major locus despite strong selection for local adaptation. Gain insights into a comprehensive toolbox for applying this method to more complex population genetic models.