Local normal forms of non-commutative potentials

I gave this contributed talk in the RGAS School on Singularities in the Instituto de Matemáticas de la Universidad de Sevilla on the 11th of January of 2024.

This talk is based on a project I am working in, which consists in computing local normal forms of non-commutative functions over a field of positive characteristic, in order to deduce information about flops and flopping divisorial contractions on 3-folds.