The technology described in this document can be embodied in a method that includes operating a surgical system to perform a surgical process, the surgical system including a display device, and receiving, at one or more processing devices, data from multiple data sources. The method also includes determining a current phase of the surgical process, and displaying, on the display device, visual representations corresponding to the data from a first set of the multiple data sources in a first arrangement within a display region of the display device. At least one of the first set of the multiple data sources and the first arrangement is associated with the current phase of the surgical process.