The Crepant Resolution Conjecture for an involution of 3d flags -- Danny Gillam

The Crepant Resolution Conjecture of Bryan/Graber predicts that the Gromov-Witten potential function of a nice global quotient orbifold [X/G] should be obtained from the potential of a crepant resolution Y of the course quotient X/G by a change of variables. In most examples where the conjecture can be checked, the target X is not compact, but there is a torus action on X which one can use to define integrals over non-compact stable map spaces by formally applying a virtual localization formula. We will briefly review this conjecture and explain how to prove it when X is the manifold of flags in C^3 and G=Z_2 acts on X by taking a flag to its orthogonal complement.