Special Kähler geometry of the Hitchin system
[Math. Dept.]
December 27, 2018 16:00-17:00
E409 School of Mathematics
![[seminar]20181227Zhenxi Huang-01.png](http://tianyuan.scu.edu.cn/upload/default/20181226/%5Bseminar%5D20181227Zhenxi%20Huang-01.png "[seminar]20181227Zhenxi Huang-01.png")
SPEAKER
Zhenxi Huang (University of Adeleide, Australia)
ABSTRACT
Hitchin system is a complex integrable system that ties together many different branches of geometry and physics. There is a naturally defined metric on the base of the Hitchin system known as special Kähler metric. This metric depends on the periods of the fibres of the integrable system, and the Donagi-Markman cubic computes the variation of the periods. In this talk, I will introduce a new formula of the Donagi-Markman cubic obtained recently with David Baraglia by looking at the spectral curves of the fibres of the Hitchin system. It turns out that the special Kähler metric on the regular part of the Hitchin system can be derived from one generic fibre.
SUPPORTED BY
School of Mathematics, Sichuan University
LECTURE NOTES
TMCSC181227a_Zhenxi Huang_Special Kähler Geometry of the Hitchin System