= Nonabelian Hodge correspondence
{wiki=Nonabelian_Hodge_correspondence}
Nonabelian Hodge correspondence is a mathematical framework that establishes a deep connection between certain geometric structures on a Riemann surface (or, more generally, on algebraic varieties) and particular types of representations of the fundamental group of these surfaces. This correspondence generalizes classical results in Hodge theory that relate complex geometry to the algebraic topology of varieties.
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