Multizeta values and associators in genus zero and one

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• Leila Schneps (Institut de Mathématiques de Jussieu, CNRS (Centre national de la recherche scientifique), Sorbonne Université)
• Wednesday 01 June 2022, 16:00-17:00
• Seminar Room 2, Newton Institute.

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

The Drinfeld associator ΦKZ is well-known to anyone who studies multiple polylogs and multizeta values. However, the geometric idea that ΦKZ is really in genus zero, and that associators can also be constructed in higher genus, is less familiar. In the first part of this talk, we will show the construction of the elliptic associator by Enriquez, and underline its properties in analogy to the well-known properties of ΦKZ. In the second part, we will give a theorem showing that what is going here is much more than a mere analogy: in fact the elliptic associator can be constructed directly from the Drinfeld associator, and its main properties can then be derived directly from those of ΦKZ.

This talk is part of the Isaac Newton Institute Seminar Series series.

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