What deal does Medea make with Aegeus?

Medea makes a deal with Aegeus, the king of Athens, to provide him with a cure for his childlessness in exchange for sanctuary in Athens after she escapes from Corinth. Aegeus agrees to protect her and offer her refuge, not knowing fully the extent of her past actions. This arrangement highlights Medea's cunning and resourcefulness as she seeks safety and a new life after her revenge on Jason.