Aspects of Calabi–Yau Integrable and Hitchin Systems

In the present notes we explain the relationship between Calabi–Yau integrable systems and Hitchin systems based on work by Diaconescu–Donagi–Pantev and the author. Besides a review of these integrable systems, we highlight related topics, for example variations of Hodge structures, cameral curves and Slodowy slices, along the way.