Mathematical Structures in Feynman Integrals

Session

Session I

Feb 13, 2023, 2:00 PM

Emmy Noether Campus

1. Welcome

Jan Piclum (University of Siegen), Mohamed Barakat (University of Siegen), Robin Brüser (University Siegen), Tobias Huber (Siegen U)

2/13/23, 2:00 PM

2. Wilhelm Killing -- Life and mathematical achievements

Wolfgang Hein

2/13/23, 2:10 PM

February 11, 2023 marks the 100th anniversary of the death of Wilhelm Killing. Far from all scientific centers, Killing formulated a research program that is still relevant today and has significantly influenced mathematical research for a century, namely the structure theory of Lie algebras. The 100th anniversary of Killing's death is an appropriate opportunity to honour Killing's merits...

3. 2D fishnet integrals and Calabi-Yau geometries

Claude Duhr

2/13/23, 3:00 PM

We argue that Yangian-invariant l-loop fishnet integrals in 2 dimensions are closely related to a family of Calabi-Yau l-folds.
This allows us to reduce the computation of these integrals to the computation of the Calabi-Yau periods. The periods are solutions of the Picard-Fuchs differential equations, which in turn are determined by the Yangian symmetry. Finally, we show that the values of...