The series aims to introduce resolution of singularities for non-experts, with foliation specialists in mind. The work discussed is joint with Andé Belotto da Silva, Michael Temkin and Jaroslaw Wlodarczyk.

Talk 1: Resolution of singularities in characteristic 0 - why does it work?

I continue a long struggle to explain to non-experts why resolution of singularities in characteristic zero works. I explain a criterion, one paragraph in an article by Wlodarczyk, which tells you what you need in order to resolve singularities.[-]