3 problems

Debarre–Iliev–Manivel conjecture. The general fiber of the classical period map is the disjoint union of $\mathcal{C}_m(X)$ and $M_G^X(2,1,5)$, both quotiented by involutions.

Categorical Torelli conjecture. The intermediate Jacobian $J(X)$ determines the Kuznetsov component $\mathcal{K}u(X)$.

Let $\mathcal{M}_3$ be the moduli space of all smooth Gushel–Mukai threefolds, let $\mathcal{A}$ be the target of the period map, and let … be the period map. For a special GM thre…