Reporter: Takuro Mochizuki (Kyoto University)
Time: 16:00-17:30, Sep 30, Oct 2, 3, 8, 9, 2024
Place: room 5501 (Sep 30, Oct 2,), room 5504 (Oct 3, 8, 9), the Fifth Teaching Building
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.
