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.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/2761