On the R-mixed Hodge structure on the relative pro-unipotent fundamental group of M_{1,1}

Abstract: Let M_{1,1} be the moduli stack of elliptic curves. The relative pro-unipotent fundamental group of M_{1,1} is a Tannakian fundamental group classifying local systems over M_{1,1} whose simple factors are isomorphic to relative middle cohomology groups of open Kuga-Sato varieties over M_{1,1}. The mixed Hodge structure on it was first defined in a more general context by Hain, and more detailed studies have recently been started by Hain and Brown. In this talk, we will discuss real mixed Hodge structure on the relative pro-unipotent fundamental group in length two.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October