The McKay correspondence in higher dimensions
Seminar/Forum
The McKay correspondence is a surprising, and beautiful, bijection (defined geometrically by du Val, and algebraically by McKay) between the isomorphism classes of Kleinian surfaces singularities and the simply laced Dynkin diagrams. I will recall this bijection and explain how it can be used to describe the Kleinian singularities, and their resolution of singularities, as moduli spaces associated to a certain noncommutative algebra. In the final part of the talk, I will describe how this construction can be extended to describe quotient singularities in higher dimensions as moduli spaces. The talk will be totally nontechnical. It is based on joint work with Alastair Craw.
Presenter

Dr Gwyn Bellamy, University of Glasgow