### Elliptic Grothendieck-Teichmueller theory

Schneps, LC *(Institut de Mathématiques de Jussieu)*

Friday 12 April 2013, 09:30-10:30

Seminar Room 1, Newton Institute

#### Abstract

I'll talk about the definition by Benjamin Enriquez of an elliptic (genus one) version of the Grothendieck-Teichmueller Lie algebra grt. I will compare it to the work of Hain, Matsumoto and Pollack on the fundamental Lie algebra of the category of elliptic mixed Tate motives. I will define conjectural analogous elliptic double shuffle and Kashiwara-Vergne Lie algebras. Finally, I will discuss a structure conjecture that emerges from work of Pollack, and prove the first case of it.

#### Presentation

#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

## Comments

Start the discussion!