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Enumerative geometry on compactified Jacobians

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EMG - New equivariant methods in algebraic and differential geometry

Gromov-Witten and Brill-Noether theory produce certain families of algebraic cycles—the “higher ramification” and “Brill-Noether” cycles respectively—which are of central importance in the enumerative geometry of curves. In this talk, I will survey how recent advances in our understanding of compactifications of the universal Jacobian have connected the two families and ultimately lead to their explicit calculation.

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

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