### A counterexample to the Γ-interpolation conjecture

Agler, Lykova and Young introduced a sequence ${C}_{\nu}$, where ν ≥ 0, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc into the symmetrized bidisc Γ. They conjectured that condition ${C}_{n-2}$ is necessary and sufficient for the solvability of an n-point interpolation problem. The aim of this article is to give a counterexample to that conjecture.