Some New Techniques for the Resolution of Singularities of Differential Operators

Explore new techniques for resolving singularities of differential operators in this 26-minute lecture by Daniel Cantergiani Panazzolo from Université de Haute Alsace. Delivered as part of the Fields Institute's Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry, delve into topics such as the general idea behind these techniques, illustrative examples, and the basic mechanism of control. Examine singular foliations, the separatrix theorem, weighted blowups, and the concept of environment curves. Gain insights into advanced mathematical concepts that contribute to the understanding and manipulation of complex differential operators.

Introduction
General idea
Examples
Basic mechanism of control
Singular foliations
Separatics theorem
Weighted blowups
Environment curve