## Seminar series on motives and period integrals in Quantum field theory and String theory |

Federico Zerbini (IPhT CEA-Saclay & IRMA, Strasbourg), Pierre Vanhove (IPhT CEA-Saclay & CERN)

Talks (titles, abstracts and slides) for the years 2017 - 2019 -- 2020 -- 2021 -- 2022 -- 2023 -- 2024 -- next talk

This is the page for the seminar series on motives and period integrals in Quantum field theory and String theory. The seminars are taking place in an hybrid form. The Zoom Meeting ID and the password, will be sent to the participants by email before the semaine via the mailing list

If you are interested in joining this seminar series you should contact the organisers.

pdf de l'exposé

Classical multiple polylogarithms can be defined as iterated integrals on the projective line minus three points where the differential forms are both algebraic and logarithmic (=have at most simple poles along the three points). On an elliptic curve it is well known that one of these two conditions have to be given up. In this talk we will show how one can reconcile algebraic and logarithmic forms by working on a certain affine bundle over the elliptic curve. This gives in particular a new description of the unipotent de Rham fundamental group of a once-punctured elliptic curve that works over any field of characteristic zero. Joint work in progress with Tiago J. Fonseca (Oxford).