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But why the moduli space of curves?

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If you have a question about this talk, please contact Gesa Dünnweber.

The moduli space of curves has been around at least since Riemann. It is a space that parametrises 1-dimensional complex manifolds, and mathematicians have studied it using topology, algebra, geometry, combinatorics, and we have even learned things about it from physicists. Still, in comparison to what we would like to know about it, we still know basically nothing. I will try to give you a sense for why these spaces are worth obsessing over, and a taster for how different areas of mathematics have contributed to its study.

This talk is part of the The Archimedeans series.

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