Talk by Michael Hartz

Pick's theorem is a century-old theorem in complex analysis about interpolation with bounded analytic functions. This classical result inspired the study of complete Pick spaces, a class of Hilbert function spaces including the Hardy space, the Dirichlet space and the Drury-Arveson space on the ball. They were first studied to understand interpolation problems. More recently, it turned out that many operator theoretic and function theoretic results for the Hardy space in fact extend to more general complete Pick spaces. In a number of cases, these results required an additional hypothesis, called the column-row property. I will talk about why the column-row property is automatic and sketch applications.