Feb 13 – 16, 2023
Emmy Noether Campus
Europe/Berlin timezone

Computing intersection numbers with a rational algorithm

Feb 14, 2023, 11:45 AM
30m
Emmy Noether Campus

Emmy Noether Campus

ENC-D 114 University of Siegen Walter-Flex-Str. 3 57072 Siegen Germany

Speaker

Gaia Fontana

Description

Intersection theory allows to exploit the vector space structure obeyed by Feynman integrals, turning the decomposition to master integrals into the calculation of the projection of a vector into a basis, via scalar products called intersection numbers. In this talk I will discuss how the calculation of intersection numbers can be achieved via a purely rational algorithm, through the systematic use of polynomial series expansions, and its implementation over the finite fields using the FiniteFlow program.

Presentation materials