Speaker
Seva Chestnov
Description
The demand for high-precision predictions for scattering processes at modern colliders drives the study of multi-particle amplitudes and their basic constituents, Feynman integrals. The increasing complexity of these integrals in multi-scale processes naturally calls for methods from computational algebraic geometry. At the same time, their interpretation as twisted period integrals reveals deep links to algebraic theories such as twisted cohomology and D-modules. I will survey several examples illustrating how these perspectives enrich our understanding of Feynman integrals and open new avenues for the analytic and numerical evaluation of scattering amplitudes in perturbative quantum field theory.
