Topological Hopf algebra of Feynman graphons and its application to Quantum Field Theory, I

This mini-course is on the basis of the speaker's monograph "a mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory" (The MPIM-preprint series 2018-65). I plan to explain the construction of a new Hopf algebraic formalism on graphons derived from the Kreimer's renormalization coproduct. Then I will show the application of this new mathematical object in dealing with non-perturbative parameters.