18-22 March 2019
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

Computer algebra and ring theory help Feynman integrals

19 Mar 2019, 11:00
1h
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

Dr Viktor Levandovskyy (RWTH Aachen)

Description

Scientists, dealing with Feynman integrals, use plenty of algebraic techniques. We will give an overview of appearing algebras, morphisms between them and localizations in a structured way, also giving details on the arising algorithmic questions and possible realizations of the latter in modern computer algebra systems. If the time allows, Gel'fand-Kirillov dimension for algebras and modules (clarifying the overused notion of "holonomic module") as well as the notion of a holonomic rank (of a localized module) will be explained.

Primary author

Dr Viktor Levandovskyy (RWTH Aachen)

Presentation Materials