Mathematical Structures in Feynman Integrals

Session

Session III

Feb 14, 2023, 9:00 AM

Emmy Noether Campus

6. Interpolation, Rational Reconstruction and Modular Algorithms

Claus Fieker

2/14/23, 9:00 AM

I will give a survey about interpolation, evaluation, and
reconstruction methods for multivariate polynomial and rational problems with applications in linear algebra and Groebner basis. This will include both asymptotically fast as well as practical algorithms.

7. The ice cone family and iterated integrals for Calabi-Yau varieties

Christoph Nega

2/14/23, 10:00 AM

In this talk I will explain how one can compute ice cone integrals in two dimensions for arbitrary loop order and which mathematical structures show up in this procedure. Using a leading singularity analysis we can find two copies of the banana graph which are related to period integrals on Calabi-Yau varieties. This observation allows us to express also the ice cone through iterated...