Explore the mathematical legacies of Galois, Grothendieck, and Voevodsky in this 58-minute conference talk by George Shabat from the Russian State University for the Humanities. Delve into the common features, tensions, and lasting impacts of these three influential mathematicians. Examine key concepts such as dessins d'enfants, cartographie sets, and Belyi pairs through topological, group-theoretical, and algebro-geometric lenses. Investigate category equivalences, arithmetic geometry, and the Grothendieck program's realization. Analyze the action of the absolute Galois group on dessins, bad reductions, and generalizations. Gain insights into the connections between dessins and moduli spaces in this comprehensive exploration of advanced mathematical concepts.