Due to its wings, the head can be assigned to Hermes. Hermes is the god of travelers, merchants, shepherds as well as thieves. Furthermore he is the messenger of the gods and leads the souls of the deceased into the underworld (Hades). He is known for his wisdom and deviousness.
The original composure of this youthful head probably derives from an image of Heracles by the Greek sculptor Polykleitos from the middle of the 5th century BC. A copyist from Roman times supplemented the wings and therefore reinterpreted it as Hermes. The copyist retained the parting of the curls above the middle of the forehead, which was typical for Polykleitos.

(S.Sch.)