The Bergman fan and the coamoeba of a linear space The coamoeba of an algebraic subvariety of a complex torus is the set of arguments of its points. While this is an object from complex analysis, it has surprisingly combinatorial structures coming from its boundary, called the phase limit set. We illustrate this in the comaoeba and phase limit sets of a linear subspace, showing that its dimension and boundary components may be described largely using the Bergman fan of the corresponding matroid. All terms will be described, and some pictures will be shown. This is joint work with Mounir Nisse.