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Title:
On elliptic versions of the Kashiwara-Vergne Lie algebra and mould theory
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Abstract:
Using the theory of moulds developed by Ecalle, we will define a linearized and an elliptic versions of the Kashiwara Vergne Lie algebra. This elliptic version of krv_ell is very close to the elliptic version of the double shuffle Lie algebra coming from number theory. Another elliptic Kashiwara Vergne Lie algebra was defined by Alekseev, Kawazumi, Kuno and Naef using topological tools. We will translate their definition in the moulds language and show that the two definitions are equivalent. This is joint work with Leila Schneps.
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