Speaker
Prof.
Richard Hain
(Duke)
Description
Goncharov's Hodge correlators give a method for computing the periods of the real mixed Hodge structure on the unipotent fundamental group of a hyperbolic Riemann surface X. The Hodge correlator of X takes values in the cyclic quotient of the graded Lie bialgebra |T(H_1(X)|. The goal of the talk is to explain how Goncharov's work is related to Johnson homomorphisms and the Goldman--Turaev Lie bialgebra.
