Renormalizations of multiple zeta values, II


Jianqiang Zhao ( Eckerd college, USA )
2016-03-25  13:30 - 14:30
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, I will first review the Hopf algebra of words whose definition is motivated by the stuffle structure of the multiple zeta values. The well-behaved structure of the singularities of the multiple zeta functions leads to the non-singular left co-ideal N of H. Then I will show that the renormalization group of MZV is essentially given by H/N, which is isomorphic to the shuffle version of H/N by Hoffman isomorphisms. Since the shuffle version respects the depth grading, we can finally analyze the structure of H/N via Eulerian idempotent map, at least when the depth is less than four. This is a joint work with Ebrahimi-Fard, Manchon and Singer.