Periods and Hodge structures in perturbative quantum field theory

Abstract

There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals.

Comments: 11 pages, to appear in the proceedings of the workshop "Periods and Motives", Madrid, July 2012, v2: typos corrected, comments added