We give an introduction to the McKay correspondence and its connection to quotients of Cn by finite reflection groups. This yields a natural construction of noncommutative resolutions of the discriminants of these reflection groups. This paper is an extended version of E. F.’s talk with the same title delivered at the ICRA.

Hyperplane arrangements, Macaulay modules, Matrix factorizations, Maximal Cohen, Noncommutative desingularization, Reflection groups
School of Mathematics and Statistics

Buchweitz, R.-O. (Ragnar-Olaf), Faber, E. (Eleonore), & Ingalls, C. (2018). Noncommutative resolutions of discriminants. Contemporary Mathematics, 37–52. doi:10.1090/conm/705/14199