This page explains how to complete the level 80 post-Shadowbringers quest "Here Be Dragons".
Requirements
This quest is available if you have completed the quest Unto the Breach.
Starting the Quest
Talk to Alphinaud in the Lochs to begin the quest.
Speak with Alphinaud in Ishgard
Teleport to Foundation in Ishgard and go to the quest icon on the map. Talk to Alphinaud to proceed.
Speak with Lucia
Use the Aetheryte to go to the Forgotten Knight, then go east to the quest icon on the map. Talk to Lucia to proceed.
Speak with Alisaie at the Airship Landing
Go west to the Aethernet Shard and use it to go to Athenaeum Astrologicum. Go southeast until you can go south to the quest icon on the map. There will be a cutscene.
Speak with Alphinaud
Talk to Alphinaud to complete the quest. There will be a cutscene.
Next Main Scenario Quest
After you complete the quest, talk to Estinien to accept the next quest: Righteous Indignation.