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Résumé |
Feynman integrals whose associated geometries extend beyond the Riemann sphere,
such as elliptic and Calabi–Yau geometries, are becoming increasingly relevant in
modern precision calculations. They arise not only in collider cross-section
computations, but also in gravitational-waves scattering.
A powerful approach to compute
such integrals is based on systems of differential equations, in particular when
these can be brought into a canonical form, in which their singularity structure
is manifest. In this talk, I will show that canonical Feynman integrals do enjoy
similar properties, albeit different associated geometries, and I will illustrate
how intersection theory can be used to further study and constraint the functions
appearing in the amplitudes. |
