Martin Klimes (University of Zagreb, Zagreb, HR)

Title: Deformations of singularities of meromorphic sl(2, C)-connections over Riemann surfaces.
Abstract: I will present a general theory of confluences and degenerations for singularities of traceless 2×2 meromorphic connections and their isomonodromic deformations. Namely, I will explain how Stokes data are attached to an underlying geometry of meromorphic quadratic differentials, and how this works in the confluent setting. A motivation comes from study of the degeneration process of Painlevé monodromy manifolds.