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# Ma Luo : Algebraic iterated integrals on elliptic curves

I will give two talks on algebraic iterated integrals. In this first one, I will focus on the case of once punctured elliptic curves over a field of characteristic zero, and describe an algebraic de Rham theory for their unipotent fundamental groups by using the elliptic KZB connection. This connection is explicitly expressed by algebraic 1-forms, which are used to construct algebraic iterated integrals on elliptic curves. It also gives an explicit version of Tannaka duality for unipotent connections over an elliptic curve with a regular singular point at the identity.

**Category**: Number Theory**Duration**: 01:24:57**Date**: March 28, 2018 at 3:10 PM**Views**: 145-
**Tags:**seminar, Number Theory Seminar

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