Anatomy of the motivic Lie algebra
Duration: 1 hour 11 mins
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About this item
| Description: |
Brown, F (IHES)
Thursday 11 April 2013, 09:30-10:30 |
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| Created: | 2013-04-12 13:02 |
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| Collection: | Grothendieck-Teichmüller Groups, Deformation and Operads |
| Publisher: | Isaac Newton Institute |
| Copyright: | Brown, F |
| Language: | eng (English) |
| 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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