GDO

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.