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Hitchin system

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A Hitchin system is a mathematical structure that arises in the study of integrable systems, particularly in the context of differential geometry and algebraic geometry. It is named after Nigel Hitchin, who introduced these systems in the context of the theory of stable bundles and the geometry of moduli spaces. More specifically, a Hitchin system is typically defined on a compact Riemann surface and can be understood as a certain type of symplectic manifold.

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