CORDIS Project
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This project focuses on the cohomology of moduli spaces of Riemann surfaces, exploring new perspectives on tautological rings and their implications. It aims to analyze the relationships between these mathematical structures and their applications in understanding periods of moduli spaces.
The proposal describes two main projects.
Both of them concern cohomology of moduli spaces of Riemann surfaces, but the aims are rather different.The first is a natural continuation of my work on tautological rings, which I intend to work on with Qizheng Yin and Mehdi Tavakol.
In this project, we will introduce a new perspective on tautological rings, which is that the tautological cohomology of moduli spaces of pointed Riemann surfaces can be described in terms of tautological cohomology of the…
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