BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Diophantine invariants of dessins d'enfants Zvonkin, Alexander


During numerous talks and conferences, a question was often raised: How to find a complete set of combinatorial and/or group-theoretic invariants of the Galois action on dessins. We will show that this is impossible. Indeed, sometimes combinatorial orbits of dessins split into several Galois orbits because of some subtle Diophantine relations between degrees of of vertices and faces.

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