7-3【Zhenxi Huang】Introduction to special Kahler geometry on Hitchin systems

Time:2025-06-30Views:10

Speaker: Zhenxi Huang(Jinan University)

Time: 15:00-17:00, Jul 3, 2025

Room: Tencent Meeting: 896 887 869, password: 250703  


    

Hitchin systems and the Moduli space of Higgs bundles were first studied by N. Hitchin in 1987, and rapidly formed a subject lying on the crossroads of representation theory, symplectic geometry and physics. Hitchin systems came from the study of Yang-Mill's equations and have many good properties. For example, they are symplectic manifolds equipped with Riemannian hyperKahler metrics. Also there is a natural metric called “special Kahler” metric on the base of the the moduli spaces. In this talk, I will introduce how the special Kahler metric and the hyper Kahler metric of Hitchin systems are related. I will also talk about our latest works on Hitchin systems.