CORDIS Project
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This project investigates the structure and properties of moduli spaces of curves with symmetries, focusing on the effects of finite group actions. It aims to develop new mathematical tools for understanding these spaces, which have implications in algebraic geometry and topology.
Moduli of curves with symmetries:determine the stable irreducible components of the moduli space of curves of genus g with an action of a finite group G, using a new homological invariant.
Stable means: for g sufficiently large, or for sufficiently large numerical branching function.
Higher homological stabilization for these moduli spaces.
Faithful actions of the absolute Galois group on moduli spaces of marked varieties, triangle curves, varieties isogenous to a product, Beauville surfaces. C…
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