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Yifan Zhao: Stable maps and compactified Jacobians

Time: Fri 2026-11-06 09.15 - 10.30

Location: KTH 3418

Participating: Yifan Zhao (KTH)

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Abstract: Compactified Jacobians of singular curves are closely related to enumerative geometry, particularly to the Yau–Zaslow formula of rational curves on K3 surfaces. In this talk, I will discuss geometric and numerical relations between compactified Jacobians and certain moduli spaces of stable maps, focusing on the Jacobian actions on compactified Jacobians and the consequences for their Euler characteristics. If times permits, I will discuss some future directions.