CMSA Special Seminar: Differentials ideals for Calabi-Yau periods and Feynman integrals
Albrecht Klemm - Bethe Center for Theoretical Physics
We will review the connection between Feynman integrals and Calabi--Yau periods. Then we explain some properties of the period geometry, in particular the Picard--Fuchs differential ideal and to which extend it allows to calculate the Feynman integral. The main result is an explicit analytic calculation of the 3-Loop Banana graph with all mass parameters using relative periods on a special family of K3 surfaces.