QM Research Seminar: Feynman integrals and intersection theory

Speaker: Hjalte Axel Frellesvig
(Zhejiang University)  


Abstract: The mathematical field of intersection theory has provided an important new perspective on Feynman integrals and the relations between them. With this approach it is possible to derive such relations with a direct projection, providing a promising alternative to the slow standard approach based on IBPs.
I will discuss various aspects of this mathematical framework, including newer developments based on relative cohomology which turns out to be a perfect fit for the mathematical structure of Feynman integrals. I will also discuss some brand new developments, that helps bring the day when the intersection-based approach can outcompete IBPs within sight.