2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204091In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dimensionally regulated multi-loop integrals to periods.6 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Sondershausen, April 2008High Energy Physics - Phenomenologytext