High Quality Content by WIKIPEDIA articles! In mathematics, the Hitchin integrable system is an integrable system introduced by Nigel Hitchin in 1987. It lies on the crossroads of the algebraic geometry, theory of Lie algebras and integrable system theory. It also plays an important role in geometric Langlands correspondence over the field of complex numbers; related to conformal field theory as certain limit of Knizhnik–Zamolodchikov equations. Almost all integrable systems of classical mechanics can be obtained as particular systems of the Hitchin system (or its certain generalization).

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