Number Theory Seminar: Karen Yeats
Topic
The c_2 invariant of Feynman graphs
Speakers
Details
Last year Francis Brown and Oliver Schnetz defined the c_2 invariant of a graph. Let p be prime, take the Kirchhoff polynomial of a graph, and count points on the variety of this polynomial over the finite field with p elements. For the graphs of interest to us, this point count will be divisible by p^2 and the result modulo p is the c_2 invariant at p.
This invariant has important things to say about the Feynman integrals of scalar Feynman graphs, and links together the combinatorial and algebro-geometric approaches to understanding Feynman integrals.
In this talk I will describe this setup and then explain some joint results with Francis Brown and Oliver Schnetz concerning the c_2 invariant of graphs with subdivergences.
This invariant has important things to say about the Feynman integrals of scalar Feynman graphs, and links together the combinatorial and algebro-geometric approaches to understanding Feynman integrals.
In this talk I will describe this setup and then explain some joint results with Francis Brown and Oliver Schnetz concerning the c_2 invariant of graphs with subdivergences.
