Author: Cornelia M Busch and Ian J Leary Affiliation: ETH Zurich and University of Southampton respectively. Abstract: Fix a prime $p$ and let $R$ be a subring of the complex numbers that is either integrally closed or contains a primitive $p$th root of unity. For any $n\geq p-1$ and any such $R$ we compute the Yagita invariant at the prime $p$ for the symplectic group $Sp(2n,R)$.