Speaker
Vsevolod Chestnov
Description
Twisted period integrals play an essential role in theoretical physics and
mathematics, residing in a finite-dimensional vector space with an inner
product known as the intersection number. In this talk, we explore the emerging
tensor structures in intersection numbers within the fibration-based evaluation
scheme. By introducing companion matrices, we reformulate the computation of
intersection numbers using matrix-valued operators. Our algorithm
enables a complete decomposition of two-loop five-point massless functions,
marking a significant advance in projecting Feynman integrals to master
integrals via intersection numbers.
