Hodge Theory Seminar
Thursday, September 29, 2005, 4:30pm, 120 Physics
Richard Hain
de Rham theory of relative unipotent completion
Abstract:
In this talk I will review K.-T Chen's iterated integrals and the corresponding de Rham type theorem for the unipotent completion of the fundamental group of a manifold. I will then explain how to define more general iterated integrals associated to a reductive representation of the fundamental group of a manifold, and then state a de Rham theorem for the relative unipotent completion of the fundamental group of a smooth manifold.

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