Moduli spaces of differentials on curves

Abstract: The moduli of $(C,f)$ where $C$ is a curve and $f$ is a rational function leads to the well-developed theory of Hurwitz spaces. The study of the moduli of $(C,\omega)$  where $C$ is a curve and $\omega$ is a meromorphic differential is a younger subject. I will discuss recent developments in the study of the moduli spaces of holomorphic/meromorphic differentials on curves. Many of the basic questions about cycle classes and integrals have now been solved (through the work of many people) -- but there are also several interesting open directions.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

( video )

Geometria em Lisboa (IST)

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