In this talk, I will formulate and discuss from a mathematical perspective some problems and results concerning Riemann surfaces, tropical curves and their moduli, which emerge from the idea of realizing Feynman amplitudes as the low-energy limit of string amplitudes, as suggested by Physicists. The link is provided by Hybrid topology which relates tropical non-Archimedean and Archimedean worlds. This is joint work with S. Bloch, J. Burgos and J. Fresan. |

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