Veranstaltung

Vortrag
Renormalisation at Work in Combinatorics or How to Count Integer Points on Cones
Prof. Dr. Sylvie Paycha
12.12.2011, 15:00 Uhr – 16:00 Uhr

Counting integer points on a cone involves evaluating divergent multiple discrete sums with conical constraints. Computing Feynman integrals in perturbative quantum field theory amounts to evaluating multiple integrals with affine constraints due to the conservation of momentum. In view of this similarity, it comes as no surprise that renormalisation techniques such as Birkhoff-Hopf factorisation used to evaluate Feynman integrals can be implemented to evaluate discrete sums on cones. We shall discuss renormalisation techniques "a la Connes and Kreimer" at work in the combinatorics on cones.