Algebraic iterated integrals on elliptic curves

Number Theory Seminar

Ma Luo (Duke University, Mathematics)

Wednesday, March 28, 2018 -
3:15pm to 4:15pm
119 Physics

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.

Last updated: 2018/06/24 - 6:16am