This is a continuation of last week's seminar: Recently A. Its, O. Lisovyy and A. Prokhorov (arXiv:1604.03082) have found a way to extend the classical Jimbo-Miwa-Ueno isomonodromic tau function to the full space of extended monodromy data of systems of linear ordinary differential equations with rational coefficients. We shall use this method to analyze incomplete spectra in unitary random matrix models. Speaker(s): Thomas Bothner (University of Michigan)