Christian Bogner: Multiple Polylogarithms and Feynman Integrals

Abstract: I want to discuss multiple polylogarithms in several variables and their role in an approach for the computation of Feynman integrals. The criterion of linear reducibility, which is useful to decide whether an integral can be computed by this approach, can be shown to have a useful graph-theoretic property.

In the end of my talk I also want to discuss a Feynman integral which we can not express by multiple polylogarithms.