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Anatomy of the motivic Lie algebra

Date: 
Thursday 11th April 2013 - 09:30 to 10:30
Venue: 
INI Seminar Room 1
Abstract: 
The motivic Lie algebra is contained in the Grothendieck-Teichmuller Lie algebra, and is isomorphic to the free graded Lie algebra with one generator in every odd degree >1. Using motivic MZV's one can define canonical generators for this algebra, but their arithmetic properties are very mysterious.

In this talk, I will explain how elements of the motivic Lie algebra admit a kind of Taylor expansion with a rich internal structure. This is closely connected with the theory of modular forms, universal elliptic motives, and some other unexpected algebraic objects.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons