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String scattering and generalized automorphic forms i

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NC2W01 - Making the bridge: Exploring new connections between number theory and physics

The goal of this lecture series is to provide a lightning introduction to string perturbation theory and to illustrate the rich mathematical structures of loop-level amplitudes. As a key example, genus-one contributions to closed-string scattering amplitudes will be shown to naturally introduce infinite generalizations of automorphic forms known as ``modular graph forms’’. I will discuss their connections with multiple zeta values seen in closed-string genus-zero amplitudes and with iterated integrals over holomorphic Eisenstein series. Moreover, I will sketch basic ideas of higher-genus generalizations of modular graph forms.

This talk is part of the Isaac Newton Institute Seminar Series series.

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