Divergence in the Hitchin component

The SL_3 Hitchin component is a moduli space of deformations of Fuchsian groups inside SL_3(R). This is an example of a higher rank Teichmüller space and can be seen from an analytic, algebraic, or dynamical perspective. For each of these points of view, there is a natural notion of "divergence to infinity". In this talk, we will discuss the relationships between these notions of divergence and show that they are often incompatible.