In his paper "[A mad day's work: from Grothendieck to Connes and Kontsevich. The evolution of concepts of space and symmetry][1]," Cartier discusses in the last sections 8 and 9 the role of polyzetas/multiple zeta functions in math and physics in summation of divergent series/renormalization in quantum physics.

Is there a recent survey article that contains a good update on these ideas?


  [1]: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.6502