The motivic Galois group for a double zeta value

par Kenza Memlouk

jeudi 21 mai 2026, 14:00 → 15:00 Europe/Paris

M7-411 (UMPA)

In this talk, we consider multiple zeta values, which are periods of unramified mixed Tate motives. For a given multiple zeta value ζ, there exists a unique minimal motive so that ζ is a period of this motive. In general, this motive is very difficult to compute. In the specific case of double zeta values, we can compute such a minimal motive. It is done by exploiting the Tannakian formalism. We will give this minimal motive, the Tannakian group associated to it and discuss its dimension. We will then formulate a conjecture about algebraic relations between double and single multiple zeta values.