Tutte Colloquium - Karen Yeats

Title: The c₂ invariant at p=2 by counting edge bipartitions

Abstract:

Since no one provided a visitor or volunteered for this week, I will explain how to prove a special case of a conjecture about the c₂ invariant. Specifically, the c₂ invariant is a graph invariant defined in order to better understand Feynman integrals. It is conjectured to have a symmetry known as completion invariance. I will describe how to prove this for the prime 2 and when the graph has an odd number of vertices. The methods are combinatorial.