## University of Sydney Algebra Seminar

# Tarig Abdelgadir (University of New South Wales)

## Friday 24 March, 12-13pm, Place: Carslaw 375

## 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 \(n=2\).