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Elliptic Grothendieck-Teichmueller theory

Presented by: 
LC Schneps Institut de Mathématiques de Jussieu
Friday 12th April 2013 - 09:30 to 10:30
INI Seminar Room 1
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons