From Polylogs to Calabi–Yau: Canonical Differential Equations and Intersection Theory

par Sara Maggio (Department of Physics and Astronomy, University of Bonn)

mercredi 4 févr. 2026, 11:30 → 12:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Seed Seminar of Mathematics and Physics

Winter '26: Flavors of Amplitudes 

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 constrain the functions appearing in the amplitudes.

Plus d’informations : https://seedseminar.apps.math.cnrs.fr/program/#february-4-2026

 

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