Speaker: Xinlong Dong (Kansas State University)

Title: Visual Sphere of the Universal Teichmüller Space. Part I.

Abstract: This talk is based on the work from H. Hakobyan and D. Saric. A Thurston boundary of the universal Teichmüller space T(D) is the space PML(D) of projective bounded measured laminations. We consider the limit points in PML(D) of certain geodesic rays induced by non-integrable holomorphic quadratic differentials. In particular, we show that there is a geodesic ray in T(D), such that the limiting projective measured lamination is supported on a geodesic lamination.