The family of Darket Tiervian, a turian still in cryo, are asking that she be allowed to join them instead of waiting for a future cryo block deployment. Prodromos is getting the experts it needs, but morale contributes as much to viability as resources.
This task is available after establishing an outpost on Eos. Start the quest by interacting with a terminal in the first floor of a building in Prodromos.
Return to Prodromos to find Darket in the same building where the task was started. She gives you a lead on kett supplies drifting in orbit around planets; go back to the Tempest and access the galaxy map to scan Pytheas for anomalies and uncover two kett caches. Traveling to the objects and collecting them concludes the task.