Shang Xu

University of California, Berkeley

Maximal Cohen-Macaulay Modules on Symplectic Singularities

We construct maximal Cohen-Macaulay sheaves on higher dimensional symplectic singularities using coherent duality on Nakajima quiver varieties. We also study the classification of $G$-equivariant maximal Cohen–Macaulay sheaves on the minimal nilpotent orbits and establish an equivalent criterion in terms of the characters of the corresponding representations of the stabilizer subgroup.