Seminar

A tale of Zagier's formula for multiple zeta values involving Hoffman elements.


In this talk, we explore Zagier's famous formula for multiple zeta values involving 2's and 3's.
 Zagier's formula is a remarkable example of both strength and the limits of the motivic formalism used by Brown in proving Hoffman's conjecture where the motivic argument does not give us a precise value for the special multiple zeta values $\zeta(2, 2, \ldots, 2, 3, 2, 2,\ldots, 2)$ as rational linear combinations of products $\zeta(m)\pi^{2n}$ with $m$ odd.