Monodromy and Big Quantum Cohomology of Hyperplane Sections of (Co)adjoint Varieties

We study the monodromy representation of general hyperplane sections of (co)adjoint varieties. We apply this result to reduce the generic semisemplicity of the big quantum cohomology to its ambient part, and to prove that the big quantum cohomology of general hyperplane sections of IGr(2, 6) is generically semisimple and satisfies Dubrovin's conjecture.