22–26 Sept 2025
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

Integration in D-modules

25 Sept 2025, 10:00
45m
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

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].

Presentation materials