Mathematical Structures in Feynman Integrals

Session

Session V

Feb 14, 2023, 2:30 PM

Emmy Noether Campus

10. A tale of two packages, pfd-parallel and NeatIBP, for the multi-loop computations

Yang Zhang

2/14/23, 2:30 PM

In this talk, we are glad to introduce two packages, pfd-parallel and NeatIBP, based on computational algebraic geometry, aiming at cutting-edge computations for multi-loop Feynman integrals. The former one, powered by Singular and the massive parallelization framework GPI/space, implements multivariate partial fraction algorithms for simplifying analytic coefficients in multi-loop...

11. Massively parallel computer algebra and its application to the computation of Feynman integrals

Janko Böhm

2/14/23, 3:00 PM

In this talk, I will first discuss the Singular/GPI-Space project which aims to bring together computer algebra systems and the workflow management system GPI-Space to perform massive parallel computations. I will illustrate how GPI-Space leverages a coordination language based on the idea of Petri nets to efficiently model algorithms. Focusing on specific use cases, I will demonstrate how...