Speaker
Pierre Lairez
Description
The aim of this talk is to explain the basics of the D-module formulation of Feynman integrals, that is how to compute with these integrals through the lens of systems of linear PDEs. I will particularly insist on the integration part: how to obtain relations on the integrals of functions, given a description of the functions with PDEs. I will hint at a few ideas developed with Hadrien Brochet and Frédéric Chyzak to perform this operation faster [https://arxiv.org/abs/2504.12724].