Pure Maths Colloquium: An operadic view of Goncharov's bialgebra of iterated integrals
24 February 2014 16:00 in CM221
We introduce a general construction of a bialgebra or Hopf algebra structure from a cooperad with a suitably compatible multiplication. This has several "classical" applications: for different choices of cooperad we can recover the bialgebras of Connes and Kreimer, and the bialgebra structure discovered by Baues on the cobar construction of a 1-reduced simplicial set. However the most important example for us will be the bialgebra structure of Goncharov on motivic multiple zeta values.
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