Mathematics Colloquium

We will study isometric maps between Teichmüller spaces and bounded symmetric domains in their intrinsic Kobayashi metric. From a complex analytic perspective, these two important classes of geometric spaces have several features in common but also exhibit many differences. In this talk, we will focus on a series of new results we recently proved in our work on this topic, which settle a long-standing problem in Teichmüller theory and suggest new directions to pursue in the future.