CORDIS Project
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This project investigates the relationships between curves in mathematical spaces and geometric equations. It aims to develop new topological invariants and explore the properties of Anosov representations, contributing to the understanding of complex mathematical structures and their applications.
We propose to study links between curves in flag manifolds, surfaces solutions of geometric partial differential equations in some affine symmetric spaces, and functions on the moduli space of curves.
We will consider the relevant energy functions on the moduli spaces of those curves, or on the moduli space of Anosov representations for periodic data, in particular in the context of positivity.
Amongst our concrete ambitious goals are: obtain topological invariant through quantising Anosov def…
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