Feynman graphs in perturbative quantum field theory

Understand

In this talk we discuss mathematical structures associated to Feynman graphs.

• Feynman graphs are the backbone of calculations in perturbative quantum field theory.
• The mathematical structures -- apart from being of interest in their own right -- allow to derive algorithms for the computation of these graphs.
• Topics covered are the relations of Feynman integrals to periods, shuffle algebras and multiple polylogarithms.