21/06/11 23:33:23.61 KPR0sRUj.net
>>712
つづき
URLﾘﾝｸ(en.wikipedia.org)
Hitchin system
In mathematics, the Hitchin integrable system is an integrable system depending on the choice of a complex reductive group and a compact Riemann surface, introduced by Nigel Hitchin in 1987. It lies on the crossroads of algebraic geometry, the 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.
Ngo (2006, 2010) used Hitchin fibrations over finite fields in his proof of the fundamental lemma.
the Hitchin system, an algebraically completely integrable Hamiltonian system associated to the data of an algebraic curve and a complex reductive group. He and Shoshichi Kobayashi independently conjectured the Kobayashi?Hitchin correspondence. Higgs bundles, which are also developed in the work of Carlos Simpson, are closely related to the Hitchin system, which has an interpretation as a moduli space of semistable Higgs bundles over a compact Riemann surface or algebraic curve.[3] This moduli space has emerged as a focal point for deep connections between algebraic geometry, differential geometry, hyperkahler geometry, mathematical physics, and representation theory.
URLﾘﾝｸ(en.wikipedia.org)
Nigel James Hitchin FRS (born 2 August 1946) is a British mathematician working in the fields of differential geometry, gauge theory, algebraic geometry, and mathematical physics.
つづく