Feynman integrals are the essential building blocks of observables in perturbative Quantum Field Theories. As precision experiments in high-energy physics are becoming more common, understanding the structure of higher loop integrals has become very important from a phenomenology point of view. On the mathematical physics side, such investigations have led to profound connections to geometry. In particular, there is a correspondence between Feynman integrals and algebraic varieties and knowing what geometry a given Feynman integral corresponds to offers invaluable lessons in solving it. In this talk, I will start with a pedagogical review of modern methods to solve higher loop integrals. Then, with a simple example, I will show how one can infer the geometry associated with an integral and discuss some of the implications of this connection.
Junior Strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome.