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Gromov-Witten theory and the tautological ring

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EMGW05 - Moduli stacks and enumerative geometry

Gromov-Witten theory is a natural source of cohomology classes on the moduli space of curves. I will explain a speculation, going back to Levine and Pandharipande, that the classes produced by Gromov-Witten theory lie in a surprisingly small part of cohomology: the tautological subring. I will explain how logarithmic Gromov-Witten theory can be used to approach this speculation, and try to share some of the subtleties involved in this approach. Based on recent and ongoing work with Davesh Maulik.

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

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