Speaker
Dr
V. Chestnov
Description
Perturbative higher-point scattering amplitudes present both conceptual and computational challenges. Their Feynman integral building blocks rapidly grow in complexity in multi-scale kinematics, motivating the use of new tools from computational algebraic geometry. Viewing these integrals as twisted period integrals further reveals deep connections to the theory of D-modules and modern mathematics. I will illustrate how these algebraic perspectives enrich our understanding of higher-point functions in Quantum Field Theory.