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Abstract

Generating series of enumerative invariants are often suprisingly connected to period integrals. In this lecture I will explain two ways of establishing relations between Gromov-Witten invariants of elliptic curves and configuration space integrals. One is representation-theoretic based on works of Bloch-Okounkov and Okoukov-Pandharipande, the other is geometric via mirror symmetry. I will mainly focus on the 2nd one, in which regularization of divergent configuration space integrals plays an essential role.

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