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

Pfaffian Systems and Gröbner Bases

23 Sept 2025, 12:00
30m
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

Nicolas Weiss

Description

Differential equations for Feynman integrals appear both in the form of annihilating operators (as D-ideals) as well as in matrix form (as Pfaffian systems). In my talk I will relate both of them in the context of Weyl algebras and Gröbner bases. This is based on arXiv:2504.01362 which describes how to obtain Pfaffian systems from D-ideals. An implementation is provided in Macaulay2.

Presentation materials