Precision calculations in quantum field theory rely very often on perturbation
thery and thus on the computation of Feynman integrals.
Feynman integrals are also fascinating objects from a mathematical point of view
and show deep connections to algebraic geometry.
In this talk I will review how to extract the geometric information from a Feynman integral
and how this information can be used to compute more efficiently Feynman integrals.