Ponente
Descripción
Feynman integrals whose associated geometries extend beyond the Riemann sphere, such as elliptic and Calabi–Yau, are increasingly relevant in modern precision calculations. They arise not only in collider cross-section calculations, but also in the post-Minkowskian expansion of gravitational wave scattering. A powerful approach to compute such integrals is via differential equations, particularly when cast in canonical form, which simplifies their ε-expansion and makes analytic properties manifest. In this talk, I will present a method to systematically construct canonical differential equations for integrals that evaluate beyond multiple polylogarithms, including elliptic and Calabi–Yau, highlighting its utility in both quantum field theory and gravitational physics.
