Title: Counting the $c_2$ invariant on the circulant family of graphs
|Affiliation:||University of Waterloo|
|Zoom:||Contact Karen Yeats|
The algebro-geometric invariant on Feynman Diagrams called the $c_2$ invariant is a useful tool for detecting properties of Feynman periods. We present this identity on graphs that originate from the scalar $\phi_4$-theory with a purely combinatorial perspective and go over some strategies for computing it. We will further narrow our focus onto the circulant family of graphs and present some explicit results.