17–28 Mar 2025
MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz
Europe/Berlin timezone

Canonical Differential Equations for Calabi-Yau Geometries

26 Mar 2025, 09:30
1h
2413/2-430 - MITP Seminar Room (MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz)

2413/2-430 - MITP Seminar Room

MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz

Staudingerweg 9 / 2nd floor, 55128 Mainz
40

Speaker

Christoph Nega

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.

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