Speaker: Andreas von Manteuffel
Abstract: Precise predictions in particle physics rely on the computation of multiloop scattering amplitudes in quantum field theory. In this talk, I will discuss how algebraic algorithms facilitate these calculations. I will review methods for determining and evaluating Feynman integrals, the fundamental building blocks of scattering amplitudes. To manage the complexity of their coefficients, techniques such as finite-field sampling and multivariate partial fraction decomposition play a central role. I will present recent progress in this area and highlight open questions where a deeper structural understanding could further advance our predictive capabilities in fundamental physics.