# Noncommutative resolutions of discriminants

## TL;DR

This paper explores the connection between the McKay correspondence and noncommutative resolutions of discriminants arising from finite reflection groups, providing a new perspective on these algebraic structures.

## Contribution

It introduces a natural construction method for noncommutative resolutions of discriminants associated with finite reflection groups, expanding understanding of their algebraic and geometric properties.

## Key findings

- Establishes a link between McKay correspondence and discriminant resolutions
- Provides a new construction approach for noncommutative resolutions
- Enhances understanding of reflection group quotients

## Abstract

We give an introduction to the McKay correspondence and its connection to quotients of $\mathbb{C}^n$ 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.