Speaker
Description
In recent years, it has been observed that certain Feynman integrals are linked to Calabi-Yau varieties. These integrals arise in various high-precision computations, including two-point functions in QED, scattering processes in the Standard Model, and the scattering of two black holes in general relativity. In my presentation, I will begin by outlining the general framework for performing precision computations. The main focus will be on calculating Feynman integrals, which we will approach using differential equations. These equations will be solved by transforming them into what is known as canonical form. I will describe our approach, which involves dividing the period matrix—also referred to as the Wronskian matrix—into semi-simple and unipotent parts. In the end, I will present three new and intriguing examples that go beyond the single Calabi-Yau geometry case.