This is the 5206th most frequent German word.
auftauchen
To emerge or appear.
Here, 'auftauchen' means to appear or turn up unexpectedly, referring to the unannounced arrival of the friend.
Plötzlich tauchte ein alter Freund mitten auf der Feier auf.
Suddenly, an old friend turned up in the middle of the party.
In this sentence, 'auftauchen' is used in the literal sense, indicating surfacing or coming back to the surface from underwater.
Die Taucher konnten aus der Tiefe auftauchen, nachdem sie die Mission abgeschlossen hatten.
The divers were able to surface from the depths after completing their mission.
Here, 'auftauchen' conveys the idea of emerging or coming to light, applied to ideas or proposals appearing during a conversation.