Tutte Colloquium - Karen Yeats

Title: Some prime indexed graph invariants inspired by Feynman integrals

Abstract:

To better understand Feynman integrals we can think about the Feynman diagrams which index these integrals as graphs and see what a graph theoretic approach can say about the integrals.  One particular thing we can do is look for graph invariants which have the same behaviour as the Feynman integrals under important graph operations.  I will discuss two such invariants, both of which are defined for each prime p>2 and so have an arithmetic flavour.