Orateur: Elise Raphael
Titre: Multiple zeta values
Résumé: I will take a closer look at the values taken by the Riemann zeta function on natural numbers. Euler provided us with important results for even values, but we only have conjectures about odd ones. Multiplying two Riemannian Zeta values will lead to the definition of the algebra of multiple zeta values (MZV). Many relations exist between MZVs of different length, which yields many conjectures on the number of generators. I will explain two different representations of MZVs , describe how some of the relations are obtained and state different conjectures and partial results.

---