New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators

Explore advanced mathematical concepts in this 51-minute graduate-level lecture on new techniques for resolving singularities in vector fields and differential operators. Delve into topics such as adapted local charts, semidirect sum products, stable systems, and local resolution similarity. Learn about eliminating pitch points, transforming axes, and stabilizing faces. Presented by Daniel Cantergiani Panazzolo from Université de Haute Alsace as part of the Fields Institute's Graduate Course on Transseries and Asymptotic Analysis, this talk offers a deep dive into cutting-edge mathematical research.

Introduction
Adapted local charts
Adapted coordinate system
Semidirect sum product
Stable system
Stable coordinate systems
Local resolution similarity
Eliminating pitch points
Transformation of the axis
Stabilization of the face
Discrete points