CORDIS Project
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This project investigates the deformations of representations of fundamental groups associated with algebraic curves, particularly focusing on singular curves. It employs non-abelian Hodge theory to translate topological questions into geometric ones, aiming to advance understanding of G-Higgs bundles and harmonic bund…
The aim of this project is to consider X a smooth projective algebraic curve and a representation ρ of π1(X) into a semisimple Lie group G, and study deformations of ρ when X deforms into a singular curve.
This question will open a brand new direction in the theory of representations of fundamental groups and G-Higgs bundles.
The main tool to approach the problem will be non- abelian Hodge theory to transform this topological question into the geometric one.
Then we use recent new developments i…
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