Intersection numbers & polynomial expansions

by Gaia Fontana (Physik-Institut, Universität Zürich)

Wednesday 22 Nov 2023, 15:00 → 16:00 Europe/Berlin

A.1.01 - Alps Süd (MPP)

I will present recent developments in the intersection-theory approach for the reduction to master integrals. In particular, I will focus on the novel method of p(z)-adic expansion which avoids the explicit appearance of non-rational poles in intermediate steps of the calculation. I will describe the implementation of a purely rational algorithm for computing intersection numbers over finite-fields using the framework FiniteFlow. Based on arXiv:2304.14336