9.30-10.9短期课程&华罗庚讨论班系列报告【望月拓郎】Asymptotic behaviour of the Hitchin metric of the moduli space of Higgs bundles

发布时间:2024-09-11来源:几何与物理研究中心中文网页浏览次数:203

报告人:望月拓郎(京都大学)

时间:2024年9月30日,10月2日、3日、8日、9日16:00-17:30

地点:5教5501(9月30日,10月2日),5504(10月3日、8日、9日



The moduli space of stable Higgs bundles of degree 0 is equipped with the hyperkähler metric, called the Hitchin metric. On the locus where the Hitchin fibration is smooth, there is the hyperkähler metric called the semi-flat metric, associated with the algebraic integrable systems with the Hitchin section. In this series of lectures, we shall review a proof of the exponentially rapid decay of the difference between the Hitchin metric and the semi-flat metric along the ray (E, tθ) as t →∞. Towards this goal, we shall explain related basic materials and techniques.