# Tarig Abdelgadir (University of New South Wales)

## Tensor McKay Correspondence: ADE case

This is a work in progress with Joseph Karmazyn (Sheffield). Given a finite group $$G$$ in the $$SL(n)$$, the derived McKay correspondence conjecture states that a crepant resolution of the corresponding singularity is derived equivalent to the corresponding orbifold. A theorem of Balmer implies that nontrivial derived equivalences induce/arise-from a change in the tensor product of the derived category. The aim is to examine this variation of tensor products in the McKay case for $$n=2$$.