Discrete Math Seminar: Karen Yeats

Dyson-Schwinger equations are certain integral equations in quantum field theory which mirror the combinatorial decompositions of trees by subtrees, or of graphs by subgraphs.  At the analytic level, many cases can still be interpreted combinatorially, as expansions indexed by rooted connected chord diagrams.  I will explain this construction, talk about which cases we know and where we are going next.