Speaker: Nils Mattes
Date: 10:30 29/01/2021
Title: The de Rham fundamental group of a once-punctured elliptic curve
Abstract: In the 1980s, Deligne introduced the motivic fundamental group of the projective line minus three points, 
tying together the various fundamental groups arising in algebraic geometry. The definition uses the theory of Tannakian categories
in an essential way. On the other hand, Deligne also gave a description of the de Rham fundamental group which is close in spirit to 
rational homotopy theory à la Sullivan. The goal of this talk is to illustrate a similar picture for the de Rham fundamental group of a 
once-punctured elliptic curve. Based on joint work in progress with Tiago J. Fonseca (Oxford).