8. CalabiYau integrable systems

Intermediate Jacobian and Hitchin System.
Problem 8.1.
Give a geometric description of how the intermediate Jacobian systems of [MR2350120] and [arXiv:1707.05973] are related to the Hitchin system. 
Problem 8.2.
Given a noncompact CalabiYau integrable system, recognize whether it is a Nakajima quiver variety.
Cite this as: AimPL: Singular geometry and Higgs bundles in string theory, available at http://aimpl.org/singularhiggs.