## Reductions, deformations & resolutions in representation theory and noncommutative geometry Vrije Universiteit Brussel

Quantum mechanics is a staple of 20th century science, and has led to the realisation that physical quantities are governed by noncommutative algebra. More precisely, Werner Heisenberg replaced classical mechanics, where observable quantities pairwise commute, with matrix mechanics, where crucial observables like position and momentum no longer commute with each other. To study quantum mechanics, it is therefore natural to also try and extend ...